Question

17. Solve the equation. Show your work. 3x – 10 = 5x + 32

Answer 1

Answer:

x = -21

Step-by-step explanation:

$3x-10=5x+32\qquad\text{add 10 to both sides}\\\\3x-10+10=5x+32+10\\\\3x=5x+42\qquad\text{subtract 5x from both sides}\\\\3x-5x=5x-5x+42\\\\-2x=42\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2x}{-2}=\dfrac{42}{-2}\\\\\boxed{x=-21}$

Answer 2

3x - 10 = 5x + 32

3x - 10 + (-5x + 10) = 5x + 32 + (-5x + 10)

-2x = 42

-0.5(-2x) = -0.5(42)

x = -21