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

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


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

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

Reorder the terms:
10 + 4x = -3(-5 + 5x) + 2x
10 + 4x = (-5 * -3 + 5x * -3) + 2x
10 + 4x = (15 + -15x) + 2x

Combine like terms: -15x + 2x = -13x
10 + 4x = 15 + -13x

Solving
10 + 4x = 15 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
10 + 4x + 13x = 15 + -13x + 13x

Combine like terms: 4x + 13x = 17x
10 + 17x = 15 + -13x + 13x

Combine like terms: -13x + 13x = 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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