5(x+2)-5=3(x-1)-2x

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Solution for 5(x+2)-5=3(x-1)-2x equation:


Simplifying
5(x + 2) + -5 = 3(x + -1) + -2x

Reorder the terms:
5(2 + x) + -5 = 3(x + -1) + -2x
(2 * 5 + x * 5) + -5 = 3(x + -1) + -2x
(10 + 5x) + -5 = 3(x + -1) + -2x

Reorder the terms:
10 + -5 + 5x = 3(x + -1) + -2x

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

Reorder the terms:
5 + 5x = 3(-1 + x) + -2x
5 + 5x = (-1 * 3 + x * 3) + -2x
5 + 5x = (-3 + 3x) + -2x

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

Solving
5 + 5x = -3 + 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 + 5x + -1x = -3 + 1x + -1x

Combine like terms: 5x + -1x = 4x
5 + 4x = -3 + 1x + -1x

Combine like terms: 1x + -1x = 0
5 + 4x = -3 + 0
5 + 4x = -3

Add '-5' to each side of the equation.
5 + -5 + 4x = -3 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = -3 + -5
4x = -3 + -5

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

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

Simplifying
x = -2

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