10x+9=12x-7

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Solution for 10x+9=12x-7 equation:


Simplifying
10x + 9 = 12x + -7

Reorder the terms:
9 + 10x = 12x + -7

Reorder the terms:
9 + 10x = -7 + 12x

Solving
9 + 10x = -7 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
9 + 10x + -12x = -7 + 12x + -12x

Combine like terms: 10x + -12x = -2x
9 + -2x = -7 + 12x + -12x

Combine like terms: 12x + -12x = 0
9 + -2x = -7 + 0
9 + -2x = -7

Add '-9' to each side of the equation.
9 + -9 + -2x = -7 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = -7 + -9
-2x = -7 + -9

Combine like terms: -7 + -9 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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