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

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


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

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

Reorder the terms:
12 + 3x + -9(-3 + x) = x + 4
12 + 3x + (-3 * -9 + x * -9) = x + 4
12 + 3x + (27 + -9x) = x + 4

Reorder the terms:
12 + 27 + 3x + -9x = x + 4

Combine like terms: 12 + 27 = 39
39 + 3x + -9x = x + 4

Combine like terms: 3x + -9x = -6x
39 + -6x = x + 4

Reorder the terms:
39 + -6x = 4 + x

Solving
39 + -6x = 4 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
39 + -6x + -1x = 4 + x + -1x

Combine like terms: -6x + -1x = -7x
39 + -7x = 4 + x + -1x

Combine like terms: x + -1x = 0
39 + -7x = 4 + 0
39 + -7x = 4

Add '-39' to each side of the equation.
39 + -39 + -7x = 4 + -39

Combine like terms: 39 + -39 = 0
0 + -7x = 4 + -39
-7x = 4 + -39

Combine like terms: 4 + -39 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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