5(2x+6)=-3x-5+8x

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Solution for 5(2x+6)=-3x-5+8x equation:


Simplifying
5(2x + 6) = -3x + -5 + 8x

Reorder the terms:
5(6 + 2x) = -3x + -5 + 8x
(6 * 5 + 2x * 5) = -3x + -5 + 8x
(30 + 10x) = -3x + -5 + 8x

Reorder the terms:
30 + 10x = -5 + -3x + 8x

Combine like terms: -3x + 8x = 5x
30 + 10x = -5 + 5x

Solving
30 + 10x = -5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
30 + 10x + -5x = -5 + 5x + -5x

Combine like terms: 10x + -5x = 5x
30 + 5x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + 5x = -5 + 0
30 + 5x = -5

Add '-30' to each side of the equation.
30 + -30 + 5x = -5 + -30

Combine like terms: 30 + -30 = 0
0 + 5x = -5 + -30
5x = -5 + -30

Combine like terms: -5 + -30 = -35
5x = -35

Divide each side by '5'.
x = -7

Simplifying
x = -7

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