5(x+8)+x=4(x+3)+4

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Solution for 5(x+8)+x=4(x+3)+4 equation: 


Simplifying
5(x + 8) + x = 4(x + 3) + 4

Reorder the terms:
5(8 + x) + x = 4(x + 3) + 4
(8 * 5 + x * 5) + x = 4(x + 3) + 4
(40 + 5x) + x = 4(x + 3) + 4

Combine like terms: 5x + x = 6x
40 + 6x = 4(x + 3) + 4

Reorder the terms:
40 + 6x = 4(3 + x) + 4
40 + 6x = (3 * 4 + x * 4) + 4
40 + 6x = (12 + 4x) + 4

Reorder the terms:
40 + 6x = 12 + 4 + 4x

Combine like terms: 12 + 4 = 16
40 + 6x = 16 + 4x

Solving
40 + 6x = 16 + 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 + 6x + -4x = 16 + 4x + -4x

Combine like terms: 6x + -4x = 2x
40 + 2x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
40 + 2x = 16 + 0
40 + 2x = 16

Add '-40' to each side of the equation.
40 + -40 + 2x = 16 + -40

Combine like terms: 40 + -40 = 0
0 + 2x = 16 + -40
2x = 16 + -40

Combine like terms: 16 + -40 = -24
2x = -24

Divide each side by '2'.
x = -12

Simplifying
x = -12

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