Question

What value of x makes the equation 0.75(x + 2) = 2 + 0.5(x - 2) true?

A. x = 4
B. x = 0
C. x = -4
D. x = 2

Answer 1

To find the value of x that makes the equation true, distribute and combine like terms, then isolate x by dividing both sides of the equation.

Step-by-step explanation:

To find the value of x that makes the equation true, we first distribute the terms:

0.75(x + 2) = 2 + 0.5(x - 2)

0.75x + 1.5 = 2 + 0.5x - 1

Next, we combine like terms:

0.75x - 0.5x = 2 - 1.5 + 1

0.25x = 1.5

To isolate x, we divide both sides of the equation by 0.25:

x = 1.5 / 0.25

x = 6

Therefore, the value of x that makes the equation true is x = 6.