Question

(02.01) Solve the equation -2(x-3) = 2(x+1) to find the value of x. What is the correct value of x?

A) x = 4
B) x = 5
C) x = 2
D) x = 1

Answer 1

To solve the given equation, distribute the -2 and 2 into the parentheses, move all x terms to one side, combine like terms, and divide by -4 to isolate x, yielding x = 2.

Step-by-step explanation:

To solve the equation -2(x-3) = 2(x+1) and find the value of x, follow these steps:

1. Distribute the -2 and 2 into the parentheses: -2x + 6 = 2x + 2.
2. Move all x terms to one side of the equation: -2x - 2x = -2 - 6.
3. Combine like terms: -4x = -8.
4. Divide both sides by -4 to isolate x: x = -8 / -4.
5. Simplify: x = 2.

Therefore, the correct value of x is C) x = 2.