Question

name date solve multi-step equation additional practice 1) 14 = -(x - 8) 6) -5(6x + 6) = 30 2) -3(8x + 2) = 162 7) -20 = -4x - 6x 3) 4x + 6 + 3 = 17 8) 4x + 9 = 2x - 6 4) 3x + 7 = x - 15 9) 7x + 2(x + 6) = 39 5) 4x + 2x - 3x = 27 10) 16 = 2(x - 1) - x ©2016 lindsay pero. all rights reserved. www.beyond

Explanation:

1) Step1: Remove parentheses

$14 = -x + 8$

1) Step2: Isolate x term

$x = 8 - 14$

1) Step3: Calculate x value

$x = -6$

2) Step1: Divide both sides by -3

$8x + 2 = \frac{162}{-3} = -54$

2) Step2: Subtract 2 from both sides

$8x = -54 - 2 = -56$

2) Step3: Divide by 8

$x = \frac{-56}{8} = -7$

3) Step1: Combine constant terms

$4x + 9 = 17$

3) Step2: Subtract 9 from both sides

$4x = 17 - 9 = 8$

3) Step3: Divide by 4

$x = \frac{8}{4} = 2$

4) Step1: Move x terms to left

$3x - x + 7 = -15$

4) Step2: Simplify x terms

$2x + 7 = -15$

4) Step3: Subtract 7 from both sides

$2x = -15 - 7 = -22$

4) Step4: Divide by 2

$x = \frac{-22}{2} = -11$

5) Step1: Combine like x terms

$3x = 27$

5) Step2: Divide by 3

$x = \frac{27}{3} = 9$

6) Step1: Divide both sides by -5

$6x + 6 = \frac{30}{-5} = -6$

6) Step2: Subtract 6 from both sides

$6x = -6 - 6 = -12$

6) Step3: Divide by 6

$x = \frac{-12}{6} = -2$

7) Step1: Combine like x terms

$-20 = -10x$

7) Step2: Divide by -10

$x = \frac{-20}{-10} = 2$

8) Step1: Move x terms to left

$4x - 2x + 9 = -6$

8) Step2: Simplify x terms

$2x + 9 = -6$

8) Step3: Subtract 9 from both sides

$2x = -6 - 9 = -15$

8) Step4: Divide by 2

$x = \frac{-15}{2} = -7.5$

9) Step1: Expand parentheses

$7x + 2x + 12 = 39$

9) Step2: Combine like x terms

$9x + 12 = 39$

9) Step3: Subtract 12 from both sides

$9x = 39 - 12 = 27$

9) Step4: Divide by 9

$x = \frac{27}{9} = 3$

10) Step1: Expand parentheses

$16 = 2x - 2 - x$

10) Step2: Combine like x terms

$16 = x - 2$

10) Step3: Isolate x

$x = 16 + 2 = 18$

Answer:

1. $x=-6$
2. $x=-7$
3. $x=2$
4. $x=-11$
5. $x=9$
6. $x=-2$
7. $x=2$
8. $x=-7.5$
9. $x=3$
10. $x=18$