x+7=-4x-8

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Solution for x+7=-4x-8 equation:


Simplifying
x + 7 = -4x + -8

Reorder the terms:
7 + x = -4x + -8

Reorder the terms:
7 + x = -8 + -4x

Solving
7 + x = -8 + -4x

Solving for variable 'x'.

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

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

Combine like terms: x + 4x = 5x
7 + 5x = -8 + -4x + 4x

Combine like terms: -4x + 4x = 0
7 + 5x = -8 + 0
7 + 5x = -8

Add '-7' to each side of the equation.
7 + -7 + 5x = -8 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = -8 + -7
5x = -8 + -7

Combine like terms: -8 + -7 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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