8(x+5)+x=4(x+2)+4

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Solution for 8(x+5)+x=4(x+2)+4 equation: 


Simplifying
8(x + 5) + x = 4(x + 2) + 4

Reorder the terms:
8(5 + x) + x = 4(x + 2) + 4
(5 * 8 + x * 8) + x = 4(x + 2) + 4
(40 + 8x) + x = 4(x + 2) + 4

Combine like terms: 8x + x = 9x
40 + 9x = 4(x + 2) + 4

Reorder the terms:
40 + 9x = 4(2 + x) + 4
40 + 9x = (2 * 4 + x * 4) + 4
40 + 9x = (8 + 4x) + 4

Reorder the terms:
40 + 9x = 8 + 4 + 4x

Combine like terms: 8 + 4 = 12
40 + 9x = 12 + 4x

Solving
40 + 9x = 12 + 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.
40 + 9x + -4x = 12 + 4x + -4x

Combine like terms: 9x + -4x = 5x
40 + 5x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
40 + 5x = 12 + 0
40 + 5x = 12

Add '-40' to each side of the equation.
40 + -40 + 5x = 12 + -40

Combine like terms: 40 + -40 = 0
0 + 5x = 12 + -40
5x = 12 + -40

Combine like terms: 12 + -40 = -28
5x = -28

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

Simplifying
x = -5.6

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