Solving Multi-Step Linear Equations with Decimals
We need more than two operations to solve a linear equation . Use inverse operations to undo each operation in reverse order.
Steps for solving a Multi-Step Equation:
Step 1 Clear the equation of decimals.
Step 2 Use the Distributive Property to remove parentheses on each side.
Step 3 Combining like terms on each side.
Step 4 Undo addition or subtraction.
Step 5 Undo multiplication or division.
Example :
Solve .
Solution
First, Multiply both sides of the equation by .
Use the distributive law on the left side of the equation.
Undo Subtraction. Add to each side.
Simplify.
Undo multiplication. Divide each side by .
Simplify.