4(x-2)-2x=3x-(x-1)+3x

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Solution for 4(x-2)-2x=3x-(x-1)+3x equation:


Simplifying
4(x + -2) + -2x = 3x + -1(x + -1) + 3x

Reorder the terms:
4(-2 + x) + -2x = 3x + -1(x + -1) + 3x
(-2 * 4 + x * 4) + -2x = 3x + -1(x + -1) + 3x
(-8 + 4x) + -2x = 3x + -1(x + -1) + 3x

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

Reorder the terms:
-8 + 2x = 3x + -1(-1 + x) + 3x
-8 + 2x = 3x + (-1 * -1 + x * -1) + 3x
-8 + 2x = 3x + (1 + -1x) + 3x

Reorder the terms:
-8 + 2x = 1 + 3x + -1x + 3x

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

Combine like terms: 2x + 3x = 5x
-8 + 2x = 1 + 5x

Solving
-8 + 2x = 1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-8 + 2x + -5x = 1 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-8 + -3x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + -3x = 1 + 0
-8 + -3x = 1

Add '8' to each side of the equation.
-8 + 8 + -3x = 1 + 8

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

Combine like terms: 1 + 8 = 9
-3x = 9

Divide each side by '-3'.
x = -3

Simplifying
x = -3

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