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

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


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

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

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

Reorder the terms:
36 + 5x = 3(4 + x) + -5
36 + 5x = (4 * 3 + x * 3) + -5
36 + 5x = (12 + 3x) + -5

Reorder the terms:
36 + 5x = 12 + -5 + 3x

Combine like terms: 12 + -5 = 7
36 + 5x = 7 + 3x

Solving
36 + 5x = 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 + 5x + -3x = 7 + 3x + -3x

Combine like terms: 5x + -3x = 2x
36 + 2x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
36 + 2x = 7 + 0
36 + 2x = 7

Add '-36' to each side of the equation.
36 + -36 + 2x = 7 + -36

Combine like terms: 36 + -36 = 0
0 + 2x = 7 + -36
2x = 7 + -36

Combine like terms: 7 + -36 = -29
2x = -29

Divide each side by '2'.
x = -14.5

Simplifying
x = -14.5

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