4(x-2)=-2x-2

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Solution for 4(x-2)=-2x-2 equation:


Simplifying
4(x + -2) = -2x + -2

Reorder the terms:
4(-2 + x) = -2x + -2
(-2 * 4 + x * 4) = -2x + -2
(-8 + 4x) = -2x + -2

Reorder the terms:
-8 + 4x = -2 + -2x

Solving
-8 + 4x = -2 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
-8 + 4x + 2x = -2 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-8 + 6x = -2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 6x = -2 + 0
-8 + 6x = -2

Add '8' to each side of the equation.
-8 + 8 + 6x = -2 + 8

Combine like terms: -8 + 8 = 0
0 + 6x = -2 + 8
6x = -2 + 8

Combine like terms: -2 + 8 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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