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

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


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

Reorder the terms:
2(4 + 2x) = -3(5x + -5) + 4x
(4 * 2 + 2x * 2) = -3(5x + -5) + 4x
(8 + 4x) = -3(5x + -5) + 4x

Reorder the terms:
8 + 4x = -3(-5 + 5x) + 4x
8 + 4x = (-5 * -3 + 5x * -3) + 4x
8 + 4x = (15 + -15x) + 4x

Combine like terms: -15x + 4x = -11x
8 + 4x = 15 + -11x

Solving
8 + 4x = 15 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
8 + 4x + 11x = 15 + -11x + 11x

Combine like terms: 4x + 11x = 15x
8 + 15x = 15 + -11x + 11x

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

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

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

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

Divide each side by '15'.
x = 0.4666666667

Simplifying
x = 0.4666666667

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