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

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


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

Reorder the terms:
4(-2 + x) = 2x + -1(x + 2)
(-2 * 4 + x * 4) = 2x + -1(x + 2)
(-8 + 4x) = 2x + -1(x + 2)

Reorder the terms:
-8 + 4x = 2x + -1(2 + x)
-8 + 4x = 2x + (2 * -1 + x * -1)
-8 + 4x = 2x + (-2 + -1x)

Reorder the terms:
-8 + 4x = -2 + 2x + -1x

Combine like terms: 2x + -1x = 1x
-8 + 4x = -2 + 1x

Solving
-8 + 4x = -2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-8 + 4x + -1x = -2 + 1x + -1x

Combine like terms: 4x + -1x = 3x
-8 + 3x = -2 + 1x + -1x

Combine like terms: 1x + -1x = 0
-8 + 3x = -2 + 0
-8 + 3x = -2

Add '8' to each side of the equation.
-8 + 8 + 3x = -2 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = -2 + 8
3x = -2 + 8

Combine like terms: -2 + 8 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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