The following steps provide a good method to use when solving linear equations.

- Simplify each side of the equation by removing parentheses and combining like terms.
- Use addition or subtraction to isolate the variable term on one side of the equation.
- Use multiplication or division to solve for the variable.

Note: Fractions may be removed by multiplying each side of the equation by the common denominator.

**Example:**

Solve for *z*: 7*z* – (3*z *– 4) = 12

** Solution:**

*Step 1.** Simplify the left side of the equation by removing parentheses and combining like terms.*

Distribute through by -1.

7*z* **–** 3*z***+** 4 = 12

Combine like terms on the left side of the equation.

4*z ***+** 4 = 12

*Step 2.** Use subtraction to isolate the variable term on the left side of the equation.*

Subtract 4 from each side of the equation.

4*z *+ 4 – 4 = 12 – 4

4*z *= 8

*Step 3.** Use division to solve for the variable.*

Divide each side of the equation by 4.

The solution to 7*z* – (3*z *– 4) = 12 is ** z = 2**.

Solve for y: (y - 11) - (y + 8) = 6y

Solve for x: 0.8(5x + 15) = 2.6 - (x + 3)

0 out of 0 correct.