7(x+4)=-2x-8

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Solution for 7(x+4)=-2x-8 equation:


Simplifying
7(x + 4) = -2x + -8

Reorder the terms:
7(4 + x) = -2x + -8
(4 * 7 + x * 7) = -2x + -8
(28 + 7x) = -2x + -8

Reorder the terms:
28 + 7x = -8 + -2x

Solving
28 + 7x = -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.
28 + 7x + 2x = -8 + -2x + 2x

Combine like terms: 7x + 2x = 9x
28 + 9x = -8 + -2x + 2x

Combine like terms: -2x + 2x = 0
28 + 9x = -8 + 0
28 + 9x = -8

Add '-28' to each side of the equation.
28 + -28 + 9x = -8 + -28

Combine like terms: 28 + -28 = 0
0 + 9x = -8 + -28
9x = -8 + -28

Combine like terms: -8 + -28 = -36
9x = -36

Divide each side by '9'.
x = -4

Simplifying
x = -4

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