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

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


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

Reorder the terms:
8(2 + x) + x = 4(x + 4) + -8
(2 * 8 + x * 8) + x = 4(x + 4) + -8
(16 + 8x) + x = 4(x + 4) + -8

Combine like terms: 8x + x = 9x
16 + 9x = 4(x + 4) + -8

Reorder the terms:
16 + 9x = 4(4 + x) + -8
16 + 9x = (4 * 4 + x * 4) + -8
16 + 9x = (16 + 4x) + -8

Reorder the terms:
16 + 9x = 16 + -8 + 4x

Combine like terms: 16 + -8 = 8
16 + 9x = 8 + 4x

Solving
16 + 9x = 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.
16 + 9x + -4x = 8 + 4x + -4x

Combine like terms: 9x + -4x = 5x
16 + 5x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + 5x = 8 + 0
16 + 5x = 8

Add '-16' to each side of the equation.
16 + -16 + 5x = 8 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = 8 + -16
5x = 8 + -16

Combine like terms: 8 + -16 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6

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