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

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


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

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

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

Reorder the terms:
36 + 10x = 4(3 + x) + 4
36 + 10x = (3 * 4 + x * 4) + 4
36 + 10x = (12 + 4x) + 4

Reorder the terms:
36 + 10x = 12 + 4 + 4x

Combine like terms: 12 + 4 = 16
36 + 10x = 16 + 4x

Solving
36 + 10x = 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.
36 + 10x + -4x = 16 + 4x + -4x

Combine like terms: 10x + -4x = 6x
36 + 6x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
36 + 6x = 16 + 0
36 + 6x = 16

Add '-36' to each side of the equation.
36 + -36 + 6x = 16 + -36

Combine like terms: 36 + -36 = 0
0 + 6x = 16 + -36
6x = 16 + -36

Combine like terms: 16 + -36 = -20
6x = -20

Divide each side by '6'.
x = -3.333333333

Simplifying
x = -3.333333333

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