In order to solve this equation, first add \(\displaystyle 0.4\) on both sides of the equation.

\(\displaystyle 0.2x-0.4 +0.4= 0.6+0.4\)

Simplify the left and right side of the equation.

\(\displaystyle 0.2x=1\)

Convert the decimal on the left side of the equation to a fraction.

\(\displaystyle 0.2 = \frac{1}{5}\)

Rewrite the equation.

\(\displaystyle \frac{1}{5}x=1\)

To isolate the unknown variable, multiply by the reciprocal of \(\displaystyle \frac{1}{5}\), or \(\displaystyle 5\), on each side of the equation.

\(\displaystyle \frac{1}{5}x \times 5=1\times 5\)

Simplify the left and the right side of the equation.

\(\displaystyle x=5\)

In order to solve this equation, we need to group the \(\displaystyle x\) terms and separate the integer \(\displaystyle 1\).

Add \(\displaystyle 0.25x\) on both sides.

\(\displaystyle 0.75x +0.25x -1=0\)

Add both sides by \(\displaystyle 1\).

\(\displaystyle 0.75x +0.25x -1+1=0+1\)

Add the left side of the equation to get \(\displaystyle x\).

The answer is:  \(\displaystyle x= -1\)

To isolate the \(\displaystyle x\) variable, subtract nine from both sides of the equation.

\(\displaystyle 9+0.9x -9= 19-9\)

Simplify both sides of the equation.

\(\displaystyle 0.9x = 10\)

Convert the decimal on the left side of the equation to a fraction.

\(\displaystyle 0.9 = \frac{9}{10}\)

Rewrite the equation.

\(\displaystyle \frac{9}{10}x= 10\)

Multiply both sides by \(\displaystyle \frac{10}{9}\) to get \(\displaystyle x\) by itself.

\(\displaystyle \frac{9}{10}x \times \frac{10}{9}= 10 \times \frac{10}{9}\)

Simplify both sides of the equation.   Multiply the tens together on the right side of the equation and leave the fraction in improper form.

The answer is:  \(\displaystyle x= \frac{100}{9}\)

Use properties of equality. Start with either subtraction or addition then multiplication or division.

\(\displaystyle 32x -8 = 224\)

          \(\displaystyle + 8\)       \(\displaystyle + 8\)

\(\displaystyle 32x = 232\)

Now divide by 32.

\(\displaystyle \frac{32x}{32} = \frac{232}{32}\)

\(\displaystyle x = 7.25\)

Check your answer by substituting 7.25 in place of x.

\(\displaystyle (32 * 7.25) - 8 = 224\)

\(\displaystyle 232 - 8 = 224\)

\(\displaystyle 224 = 224\)

Both sides are equal.

In this two step equation we must isolate and find the solution of y. So the first step is to add both sides by 3.4 as follows:

\(\displaystyle 1.25y - 3.4 +3.4 = 6.6 + 3.4\)

\(\displaystyle 1.25y +0 = 10.0\)

\(\displaystyle 1.25y=10.0\)

The next step is divide both sides by 1.25 as follows:

\(\displaystyle \frac{1.25}{1.25}y=\frac{10.0}{1.25}\Rightarrow y =\frac{10.0}{1.25}=8\)

You can check your answer by inserting 8 into y in the original equation as follows:

\(\displaystyle 1.25(8)-3.4=6.6\Rightarrow 10.0-3.4=6.6\Rightarrow 6.6=6.6\)

It's correct!

Isolate the variable to one side.

Subtract \(\displaystyle 7\) from both sides:

\(\displaystyle x+7=2\)

\(\displaystyle x+7-7=2-7\)

\(\displaystyle x=-5\)

We need to isolate \(\displaystyle x\) by dividing by 3.

Remember, what you do on one side, you must do on the other side.

Since you divided \(\displaystyle 3x\) by \(\displaystyle 3\), you also have to divde \(\displaystyle 27\) by \(\displaystyle 3\):

\(\displaystyle \frac{3x}{3}= \frac{27}{3}\)

\(\displaystyle x=9\)

To solve this you must isolate your \(\displaystyle \small x\) by subtracting 1 from both sides to get

\(\displaystyle x=0-1\) or \(\displaystyle x=-1\)

Step 1: isolate x

\(\displaystyle x+4-4=-12-4\)

\(\displaystyle x=-12-4\)

Step 2: solve

\(\displaystyle x=-16\)

If it's helpful, when you subtract a positive integer from a negative integer, you can think of it in terms of absolute value:

\(\displaystyle -12-4=-\left | 12+4\right |=-\left | 16\right |=-16\)

To solve this equation, isolate \(\displaystyle \small x\) by dividing both sides of the equation by 8:

\(\displaystyle \small 8x=64\)

\(\displaystyle \small \frac{8x}{8}= \frac{64}{8}\)

\(\displaystyle \small x=8\)