4(2-2x)+7x=5(3+2x)

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Solution for 4(2-2x)+7x=5(3+2x) equation: 


Simplifying
4(2 + -2x) + 7x = 5(3 + 2x)
(2 * 4 + -2x * 4) + 7x = 5(3 + 2x)
(8 + -8x) + 7x = 5(3 + 2x)

Combine like terms: -8x + 7x = -1x
8 + -1x = 5(3 + 2x)
8 + -1x = (3 * 5 + 2x * 5)
8 + -1x = (15 + 10x)

Solving
8 + -1x = 15 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
8 + -1x + -10x = 15 + 10x + -10x

Combine like terms: -1x + -10x = -11x
8 + -11x = 15 + 10x + -10x

Combine like terms: 10x + -10x = 0
8 + -11x = 15 + 0
8 + -11x = 15

Add '-8' to each side of the equation.
8 + -8 + -11x = 15 + -8

Combine like terms: 8 + -8 = 0
0 + -11x = 15 + -8
-11x = 15 + -8

Combine like terms: 15 + -8 = 7
-11x = 7

Divide each side by '-11'.
x = -0.6363636364

Simplifying
x = -0.6363636364

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