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

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


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

Reorder the terms:
2(2 + 5x) = -5(4x + -4) + 3x
(2 * 2 + 5x * 2) = -5(4x + -4) + 3x
(4 + 10x) = -5(4x + -4) + 3x

Reorder the terms:
4 + 10x = -5(-4 + 4x) + 3x
4 + 10x = (-4 * -5 + 4x * -5) + 3x
4 + 10x = (20 + -20x) + 3x

Combine like terms: -20x + 3x = -17x
4 + 10x = 20 + -17x

Solving
4 + 10x = 20 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
4 + 10x + 17x = 20 + -17x + 17x

Combine like terms: 10x + 17x = 27x
4 + 27x = 20 + -17x + 17x

Combine like terms: -17x + 17x = 0
4 + 27x = 20 + 0
4 + 27x = 20

Add '-4' to each side of the equation.
4 + -4 + 27x = 20 + -4

Combine like terms: 4 + -4 = 0
0 + 27x = 20 + -4
27x = 20 + -4

Combine like terms: 20 + -4 = 16
27x = 16

Divide each side by '27'.
x = 0.5925925926

Simplifying
x = 0.5925925926

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