4(x-2)-2x=3x-5+x

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Solution for 4(x-2)-2x=3x-5+x equation:


Simplifying
4(x + -2) + -2x = 3x + -5 + x

Reorder the terms:
4(-2 + x) + -2x = 3x + -5 + x
(-2 * 4 + x * 4) + -2x = 3x + -5 + x
(-8 + 4x) + -2x = 3x + -5 + x

Combine like terms: 4x + -2x = 2x
-8 + 2x = 3x + -5 + x

Reorder the terms:
-8 + 2x = -5 + 3x + x

Combine like terms: 3x + x = 4x
-8 + 2x = -5 + 4x

Solving
-8 + 2x = -5 + 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.
-8 + 2x + -4x = -5 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-8 + -2x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + -2x = -5 + 0
-8 + -2x = -5

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

Combine like terms: -8 + 8 = 0
0 + -2x = -5 + 8
-2x = -5 + 8

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

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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