Simplify x + 1/2 (x-5) = 20

Question

Mathematics

Jorge Fernandez

22 September, 10:14

Simplify x + 1/2 (x-5) = 20

+3

Answers (1)

Know the Answer?

Willow Chapman · Answer 1

Answer: x=15

Step-by-step explanation: Let's solve your equation step-by-step.

x + 1 / 2

(x-5) = 20

Step 1: Simplify both sides of the equation.

x + 1 / 2

(x-5) = 20

x + (1 / 2) (x) + (1 / 2) (-5) = 20 (Distribute)

x + 1 / 2

x + - 5 / 2 = 20

(x + 1 / 2 x) + (-5 / 2) = 20 (Combine Like Terms)

3 / 2 x + - 5 / 2 = 20

3 / 2 x + - 5 / 2 = 20

Step 2: Add 5/2 to both sides.

3 / 2 x + - 5 / 2 + 5 / 2 = 20 + 5 / 2

3 / 2 x = 45 / 2

Step 3: Multiply both sides by 2/3.

(2 / 3) * (3 / 2 x) = (2 / 3) * (45 / 2)

x=15