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

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


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

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

Combine like terms: 9x + x = 10x
36 + 10x = 3(x + 5) + -4

Reorder the terms:
36 + 10x = 3(5 + x) + -4
36 + 10x = (5 * 3 + x * 3) + -4
36 + 10x = (15 + 3x) + -4

Reorder the terms:
36 + 10x = 15 + -4 + 3x

Combine like terms: 15 + -4 = 11
36 + 10x = 11 + 3x

Solving
36 + 10x = 11 + 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 = 11 + 3x + -3x

Combine like terms: 10x + -3x = 7x
36 + 7x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
36 + 7x = 11 + 0
36 + 7x = 11

Add '-36' to each side of the equation.
36 + -36 + 7x = 11 + -36

Combine like terms: 36 + -36 = 0
0 + 7x = 11 + -36
7x = 11 + -36

Combine like terms: 11 + -36 = -25
7x = -25

Divide each side by '7'.
x = -3.571428571

Simplifying
x = -3.571428571

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