4(3x+5)=-2x-8

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Solution for 4(3x+5)=-2x-8 equation:


Simplifying
4(3x + 5) = -2x + -8

Reorder the terms:
4(5 + 3x) = -2x + -8
(5 * 4 + 3x * 4) = -2x + -8
(20 + 12x) = -2x + -8

Reorder the terms:
20 + 12x = -8 + -2x

Solving
20 + 12x = -8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
20 + 12x + 2x = -8 + -2x + 2x

Combine like terms: 12x + 2x = 14x
20 + 14x = -8 + -2x + 2x

Combine like terms: -2x + 2x = 0
20 + 14x = -8 + 0
20 + 14x = -8

Add '-20' to each side of the equation.
20 + -20 + 14x = -8 + -20

Combine like terms: 20 + -20 = 0
0 + 14x = -8 + -20
14x = -8 + -20

Combine like terms: -8 + -20 = -28
14x = -28

Divide each side by '14'.
x = -2

Simplifying
x = -2

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