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

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Solution for 9(x+4)+x=3(x+5)-8 equation: 


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

Reorder the terms:
9(4 + x) + x = 3(x + 5) + -8
(4 * 9 + x * 9) + x = 3(x + 5) + -8
(36 + 9x) + x = 3(x + 5) + -8

Combine like terms: 9x + x = 10x
36 + 10x = 3(x + 5) + -8

Reorder the terms:
36 + 10x = 3(5 + x) + -8
36 + 10x = (5 * 3 + x * 3) + -8
36 + 10x = (15 + 3x) + -8

Reorder the terms:
36 + 10x = 15 + -8 + 3x

Combine like terms: 15 + -8 = 7
36 + 10x = 7 + 3x

Solving
36 + 10x = 7 + 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.
36 + 10x + -3x = 7 + 3x + -3x

Combine like terms: 10x + -3x = 7x
36 + 7x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
36 + 7x = 7 + 0
36 + 7x = 7

Add '-36' to each side of the equation.
36 + -36 + 7x = 7 + -36

Combine like terms: 36 + -36 = 0
0 + 7x = 7 + -36
7x = 7 + -36

Combine like terms: 7 + -36 = -29
7x = -29

Divide each side by '7'.
x = -4.142857143

Simplifying
x = -4.142857143

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