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

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


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

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

Reorder the terms:
20 + 5x = -3(-2 + 5x) + 4x
20 + 5x = (-2 * -3 + 5x * -3) + 4x
20 + 5x = (6 + -15x) + 4x

Combine like terms: -15x + 4x = -11x
20 + 5x = 6 + -11x

Solving
20 + 5x = 6 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
20 + 5x + 11x = 6 + -11x + 11x

Combine like terms: 5x + 11x = 16x
20 + 16x = 6 + -11x + 11x

Combine like terms: -11x + 11x = 0
20 + 16x = 6 + 0
20 + 16x = 6

Add '-20' to each side of the equation.
20 + -20 + 16x = 6 + -20

Combine like terms: 20 + -20 = 0
0 + 16x = 6 + -20
16x = 6 + -20

Combine like terms: 6 + -20 = -14
16x = -14

Divide each side by '16'.
x = -0.875

Simplifying
x = -0.875

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