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

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


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

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

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

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

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

Solving
-2 + 2x = 6 + 4x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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