4(-2x+2)=13-3(x+2)

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Solution for 4(-2x+2)=13-3(x+2) equation: 


Simplifying
4(-2x + 2) = 13 + -3(x + 2)

Reorder the terms:
4(2 + -2x) = 13 + -3(x + 2)
(2 * 4 + -2x * 4) = 13 + -3(x + 2)
(8 + -8x) = 13 + -3(x + 2)

Reorder the terms:
8 + -8x = 13 + -3(2 + x)
8 + -8x = 13 + (2 * -3 + x * -3)
8 + -8x = 13 + (-6 + -3x)

Combine like terms: 13 + -6 = 7
8 + -8x = 7 + -3x

Solving
8 + -8x = 7 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
8 + -8x + 3x = 7 + -3x + 3x

Combine like terms: -8x + 3x = -5x
8 + -5x = 7 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + -5x = 7 + 0
8 + -5x = 7

Add '-8' to each side of the equation.
8 + -8 + -5x = 7 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 7 + -8
-5x = 7 + -8

Combine like terms: 7 + -8 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

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