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

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Solution for 6(x+4)+x=2(x+2)-8 equation:


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

Reorder the terms:
6(4 + x) + x = 2(x + 2) + -8
(4 * 6 + x * 6) + x = 2(x + 2) + -8
(24 + 6x) + x = 2(x + 2) + -8

Combine like terms: 6x + x = 7x
24 + 7x = 2(x + 2) + -8

Reorder the terms:
24 + 7x = 2(2 + x) + -8
24 + 7x = (2 * 2 + x * 2) + -8
24 + 7x = (4 + 2x) + -8

Reorder the terms:
24 + 7x = 4 + -8 + 2x

Combine like terms: 4 + -8 = -4
24 + 7x = -4 + 2x

Solving
24 + 7x = -4 + 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.
24 + 7x + -2x = -4 + 2x + -2x

Combine like terms: 7x + -2x = 5x
24 + 5x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
24 + 5x = -4 + 0
24 + 5x = -4

Add '-24' to each side of the equation.
24 + -24 + 5x = -4 + -24

Combine like terms: 24 + -24 = 0
0 + 5x = -4 + -24
5x = -4 + -24

Combine like terms: -4 + -24 = -28
5x = -28

Divide each side by '5'.
x = -5.6

Simplifying
x = -5.6

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