8(x+6)+x=4(x+2)-5

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Solution for 8(x+6)+x=4(x+2)-5 equation: 


Simplifying
8(x + 6) + x = 4(x + 2) + -5

Reorder the terms:
8(6 + x) + x = 4(x + 2) + -5
(6 * 8 + x * 8) + x = 4(x + 2) + -5
(48 + 8x) + x = 4(x + 2) + -5

Combine like terms: 8x + x = 9x
48 + 9x = 4(x + 2) + -5

Reorder the terms:
48 + 9x = 4(2 + x) + -5
48 + 9x = (2 * 4 + x * 4) + -5
48 + 9x = (8 + 4x) + -5

Reorder the terms:
48 + 9x = 8 + -5 + 4x

Combine like terms: 8 + -5 = 3
48 + 9x = 3 + 4x

Solving
48 + 9x = 3 + 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.
48 + 9x + -4x = 3 + 4x + -4x

Combine like terms: 9x + -4x = 5x
48 + 5x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
48 + 5x = 3 + 0
48 + 5x = 3

Add '-48' to each side of the equation.
48 + -48 + 5x = 3 + -48

Combine like terms: 48 + -48 = 0
0 + 5x = 3 + -48
5x = 3 + -48

Combine like terms: 3 + -48 = -45
5x = -45

Divide each side by '5'.
x = -9

Simplifying
x = -9

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