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

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


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

Reorder the terms:
2(-2 + x) + 3(2x + 2) = 5(2 + -1x)
(-2 * 2 + x * 2) + 3(2x + 2) = 5(2 + -1x)
(-4 + 2x) + 3(2x + 2) = 5(2 + -1x)

Reorder the terms:
-4 + 2x + 3(2 + 2x) = 5(2 + -1x)
-4 + 2x + (2 * 3 + 2x * 3) = 5(2 + -1x)
-4 + 2x + (6 + 6x) = 5(2 + -1x)

Reorder the terms:
-4 + 6 + 2x + 6x = 5(2 + -1x)

Combine like terms: -4 + 6 = 2
2 + 2x + 6x = 5(2 + -1x)

Combine like terms: 2x + 6x = 8x
2 + 8x = 5(2 + -1x)
2 + 8x = (2 * 5 + -1x * 5)
2 + 8x = (10 + -5x)

Solving
2 + 8x = 10 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
2 + 8x + 5x = 10 + -5x + 5x

Combine like terms: 8x + 5x = 13x
2 + 13x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
2 + 13x = 10 + 0
2 + 13x = 10

Add '-2' to each side of the equation.
2 + -2 + 13x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 13x = 10 + -2
13x = 10 + -2

Combine like terms: 10 + -2 = 8
13x = 8

Divide each side by '13'.
x = 0.6153846154

Simplifying
x = 0.6153846154

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