8(x+5)+x=3(x+4)-2

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Solution for 8(x+5)+x=3(x+4)-2 equation: 


Simplifying
8(x + 5) + x = 3(x + 4) + -2

Reorder the terms:
8(5 + x) + x = 3(x + 4) + -2
(5 * 8 + x * 8) + x = 3(x + 4) + -2
(40 + 8x) + x = 3(x + 4) + -2

Combine like terms: 8x + x = 9x
40 + 9x = 3(x + 4) + -2

Reorder the terms:
40 + 9x = 3(4 + x) + -2
40 + 9x = (4 * 3 + x * 3) + -2
40 + 9x = (12 + 3x) + -2

Reorder the terms:
40 + 9x = 12 + -2 + 3x

Combine like terms: 12 + -2 = 10
40 + 9x = 10 + 3x

Solving
40 + 9x = 10 + 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 + 9x + -3x = 10 + 3x + -3x

Combine like terms: 9x + -3x = 6x
40 + 6x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
40 + 6x = 10 + 0
40 + 6x = 10

Add '-40' to each side of the equation.
40 + -40 + 6x = 10 + -40

Combine like terms: 40 + -40 = 0
0 + 6x = 10 + -40
6x = 10 + -40

Combine like terms: 10 + -40 = -30
6x = -30

Divide each side by '6'.
x = -5

Simplifying
x = -5

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