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

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


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

Reorder the terms:
5(3 + 4x) = -5(4x + -4) + 2x
(3 * 5 + 4x * 5) = -5(4x + -4) + 2x
(15 + 20x) = -5(4x + -4) + 2x

Reorder the terms:
15 + 20x = -5(-4 + 4x) + 2x
15 + 20x = (-4 * -5 + 4x * -5) + 2x
15 + 20x = (20 + -20x) + 2x

Combine like terms: -20x + 2x = -18x
15 + 20x = 20 + -18x

Solving
15 + 20x = 20 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
15 + 20x + 18x = 20 + -18x + 18x

Combine like terms: 20x + 18x = 38x
15 + 38x = 20 + -18x + 18x

Combine like terms: -18x + 18x = 0
15 + 38x = 20 + 0
15 + 38x = 20

Add '-15' to each side of the equation.
15 + -15 + 38x = 20 + -15

Combine like terms: 15 + -15 = 0
0 + 38x = 20 + -15
38x = 20 + -15

Combine like terms: 20 + -15 = 5
38x = 5

Divide each side by '38'.
x = 0.1315789474

Simplifying
x = 0.1315789474

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