2(x+1)-4(x+2)=2x-2

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Solution for 2(x+1)-4(x+2)=2x-2 equation: 


Simplifying
2(x + 1) + -4(x + 2) = 2x + -2

Reorder the terms:
2(1 + x) + -4(x + 2) = 2x + -2
(1 * 2 + x * 2) + -4(x + 2) = 2x + -2
(2 + 2x) + -4(x + 2) = 2x + -2

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

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

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

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

Reorder the terms:
-6 + -2x = -2 + 2x

Solving
-6 + -2x = -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.
-6 + -2x + -2x = -2 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-6 + -4x = -2 + 0
-6 + -4x = -2

Add '6' to each side of the equation.
-6 + 6 + -4x = -2 + 6

Combine like terms: -6 + 6 = 0
0 + -4x = -2 + 6
-4x = -2 + 6

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

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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