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

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


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

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

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

Combine like terms: -10x + 2x = -8x
10 + 4x = 15 + -8x

Solving
10 + 4x = 15 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
10 + 4x + 8x = 15 + -8x + 8x

Combine like terms: 4x + 8x = 12x
10 + 12x = 15 + -8x + 8x

Combine like terms: -8x + 8x = 0
10 + 12x = 15 + 0
10 + 12x = 15

Add '-10' to each side of the equation.
10 + -10 + 12x = 15 + -10

Combine like terms: 10 + -10 = 0
0 + 12x = 15 + -10
12x = 15 + -10

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

Divide each side by '12'.
x = 0.4166666667

Simplifying
x = 0.4166666667

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