5(x+8)+x=3(x+2)+2

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Solution for 5(x+8)+x=3(x+2)+2 equation: 


Simplifying
5(x + 8) + x = 3(x + 2) + 2

Reorder the terms:
5(8 + x) + x = 3(x + 2) + 2
(8 * 5 + x * 5) + x = 3(x + 2) + 2
(40 + 5x) + x = 3(x + 2) + 2

Combine like terms: 5x + x = 6x
40 + 6x = 3(x + 2) + 2

Reorder the terms:
40 + 6x = 3(2 + x) + 2
40 + 6x = (2 * 3 + x * 3) + 2
40 + 6x = (6 + 3x) + 2

Reorder the terms:
40 + 6x = 6 + 2 + 3x

Combine like terms: 6 + 2 = 8
40 + 6x = 8 + 3x

Solving
40 + 6x = 8 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
40 + 6x + -3x = 8 + 3x + -3x

Combine like terms: 6x + -3x = 3x
40 + 3x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
40 + 3x = 8 + 0
40 + 3x = 8

Add '-40' to each side of the equation.
40 + -40 + 3x = 8 + -40

Combine like terms: 40 + -40 = 0
0 + 3x = 8 + -40
3x = 8 + -40

Combine like terms: 8 + -40 = -32
3x = -32

Divide each side by '3'.
x = -10.66666667

Simplifying
x = -10.66666667

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