5x+6=12+9x-5

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Solution for 5x+6=12+9x-5 equation:


Simplifying
5x + 6 = 12 + 9x + -5

Reorder the terms:
6 + 5x = 12 + 9x + -5

Reorder the terms:
6 + 5x = 12 + -5 + 9x

Combine like terms: 12 + -5 = 7
6 + 5x = 7 + 9x

Solving
6 + 5x = 7 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
6 + 5x + -9x = 7 + 9x + -9x

Combine like terms: 5x + -9x = -4x
6 + -4x = 7 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -4x = 7 + 0
6 + -4x = 7

Add '-6' to each side of the equation.
6 + -6 + -4x = 7 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 7 + -6
-4x = 7 + -6

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

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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