4(x+7)=-2(x-3)-8

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Solution for 4(x+7)=-2(x-3)-8 equation:


Simplifying
4(x + 7) = -2(x + -3) + -8

Reorder the terms:
4(7 + x) = -2(x + -3) + -8
(7 * 4 + x * 4) = -2(x + -3) + -8
(28 + 4x) = -2(x + -3) + -8

Reorder the terms:
28 + 4x = -2(-3 + x) + -8
28 + 4x = (-3 * -2 + x * -2) + -8
28 + 4x = (6 + -2x) + -8

Reorder the terms:
28 + 4x = 6 + -8 + -2x

Combine like terms: 6 + -8 = -2
28 + 4x = -2 + -2x

Solving
28 + 4x = -2 + -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 + 4x + 2x = -2 + -2x + 2x

Combine like terms: 4x + 2x = 6x
28 + 6x = -2 + -2x + 2x

Combine like terms: -2x + 2x = 0
28 + 6x = -2 + 0
28 + 6x = -2

Add '-28' to each side of the equation.
28 + -28 + 6x = -2 + -28

Combine like terms: 28 + -28 = 0
0 + 6x = -2 + -28
6x = -2 + -28

Combine like terms: -2 + -28 = -30
6x = -30

Divide each side by '6'.
x = -5

Simplifying
x = -5

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