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

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


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

Reorder the terms:
4(5 + x) = 3(x + -2) + -2x + 2
(5 * 4 + x * 4) = 3(x + -2) + -2x + 2
(20 + 4x) = 3(x + -2) + -2x + 2

Reorder the terms:
20 + 4x = 3(-2 + x) + -2x + 2
20 + 4x = (-2 * 3 + x * 3) + -2x + 2
20 + 4x = (-6 + 3x) + -2x + 2

Reorder the terms:
20 + 4x = -6 + 2 + 3x + -2x

Combine like terms: -6 + 2 = -4
20 + 4x = -4 + 3x + -2x

Combine like terms: 3x + -2x = 1x
20 + 4x = -4 + 1x

Solving
20 + 4x = -4 + 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.
20 + 4x + -1x = -4 + 1x + -1x

Combine like terms: 4x + -1x = 3x
20 + 3x = -4 + 1x + -1x

Combine like terms: 1x + -1x = 0
20 + 3x = -4 + 0
20 + 3x = -4

Add '-20' to each side of the equation.
20 + -20 + 3x = -4 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = -4 + -20
3x = -4 + -20

Combine like terms: -4 + -20 = -24
3x = -24

Divide each side by '3'.
x = -8

Simplifying
x = -8

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