x+9=5x-39

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Solution for x+9=5x-39 equation:


Simplifying
x + 9 = 5x + -39

Reorder the terms:
9 + x = 5x + -39

Reorder the terms:
9 + x = -39 + 5x

Solving
9 + x = -39 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
9 + x + -5x = -39 + 5x + -5x

Combine like terms: x + -5x = -4x
9 + -4x = -39 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -4x = -39 + 0
9 + -4x = -39

Add '-9' to each side of the equation.
9 + -9 + -4x = -39 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = -39 + -9
-4x = -39 + -9

Combine like terms: -39 + -9 = -48
-4x = -48

Divide each side by '-4'.
x = 12

Simplifying
x = 12

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