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

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


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

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

Reorder the terms:
10 + 10x = -3(-5 + 4x) + 5x
10 + 10x = (-5 * -3 + 4x * -3) + 5x
10 + 10x = (15 + -12x) + 5x

Combine like terms: -12x + 5x = -7x
10 + 10x = 15 + -7x

Solving
10 + 10x = 15 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
10 + 10x + 7x = 15 + -7x + 7x

Combine like terms: 10x + 7x = 17x
10 + 17x = 15 + -7x + 7x

Combine like terms: -7x + 7x = 0
10 + 17x = 15 + 0
10 + 17x = 15

Add '-10' to each side of the equation.
10 + -10 + 17x = 15 + -10

Combine like terms: 10 + -10 = 0
0 + 17x = 15 + -10
17x = 15 + -10

Combine like terms: 15 + -10 = 5
17x = 5

Divide each side by '17'.
x = 0.2941176471

Simplifying
x = 0.2941176471

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