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

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


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

Reorder the terms:
5 = 3(-4 + x) + 2 + -2x
5 = (-4 * 3 + x * 3) + 2 + -2x
5 = (-12 + 3x) + 2 + -2x

Reorder the terms:
5 = -12 + 2 + 3x + -2x

Combine like terms: -12 + 2 = -10
5 = -10 + 3x + -2x

Combine like terms: 3x + -2x = 1x
5 = -10 + 1x

Solving
5 = -10 + 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.
5 + -1x = -10 + 1x + -1x

Combine like terms: 1x + -1x = 0
5 + -1x = -10 + 0
5 + -1x = -10

Add '-5' to each side of the equation.
5 + -5 + -1x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -10 + -5
-1x = -10 + -5

Combine like terms: -10 + -5 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

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