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

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


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

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

Combine like terms: 7x + x = 8x
28 + 8x = 2(x + 4) + -8

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

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

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

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

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

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

Add '-28' to each side of the equation.
28 + -28 + 6x = 0 + -28

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

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

Divide each side by '6'.
x = -4.666666667

Simplifying
x = -4.666666667

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