In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To isolate the unknown variable, add six on both sides.

$\displaystyle -6 +x +6=75+6$

$\displaystyle x=81$

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To isolate $\displaystyle x$, divide both sides by 13.

$\displaystyle \frac{13x}{13} = \frac{1313}{13}$

$\displaystyle x=101$

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To solve this equation, divide both sides by ten.

$\displaystyle \frac{10x}{10} = \frac{6}{10}$

Once we divide, then factor the numerator to find any common factors that can cancel out. Since there is a two in the numerator and in the denominator, they cancel out and we are left with out final, simplified answer.

$\displaystyle x=\frac{6}{10} = \frac{2\cdot 3}{2\cdot 5}=\frac{3}{5}$

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Divide both sides by twelve.

$\displaystyle \frac{12}{12}x = \frac{1224}{12}$

From here, factor the numerator to further simplify.

$\displaystyle x=\frac{1224}{12}=\frac{12\cdot 102}{12}$

The twelve in the numerator and the denominator cancel out and we arrive at the final solution.

$\displaystyle x=102$

Subtract $\displaystyle 3$ from both sides of the equation.

$\displaystyle 3+x-3 = 103-3$

$\displaystyle x=100$

Divide by seven on both sides of the equation.

$\displaystyle \frac{7x}{7} =\frac{ 91}{7}$

$\displaystyle x=13$

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To solve for $\displaystyle x$. subtract two from both sides of the equation.

$\displaystyle 2+x -2= 88-2$

$\displaystyle x=86$

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Divide nine on both sides and reduce the fraction.

$\displaystyle \frac{9x}{9}= \frac{24}{9}$

From here, factor the numerator and denominator to find values that can cancel.

$\displaystyle \frac{24}{9}=\frac{3\cdot 8}{3\cdot 3}$

Since there is a three in both the numerator and denominator it reduces to one and we are left with the final answer of,

$\displaystyle x=\frac{8}{3}$.

To solve for $\displaystyle x$, simply subtract 19 from both side of the equation to isolate $\displaystyle x$.

$\displaystyle x+19 -19= -19-19$

$\displaystyle x=-38$

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Divide both sides by 13 to isolate the variable.

$\displaystyle \frac{13x }{13}= \frac{13013}{13}$

Now factor the numerator to find values that can cancel out.

$\displaystyle \frac{13013}{13}=\frac{13\cdot 1001}{13}$

The 13 in the numerator and denominator reduces to one and we are left with,

$\displaystyle x=1001$.