10x+9=11x-7

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Solution for 10x+9=11x-7 equation:


Simplifying
10x + 9 = 11x + -7

Reorder the terms:
9 + 10x = 11x + -7

Reorder the terms:
9 + 10x = -7 + 11x

Solving
9 + 10x = -7 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
9 + 10x + -11x = -7 + 11x + -11x

Combine like terms: 10x + -11x = -1x
9 + -1x = -7 + 11x + -11x

Combine like terms: 11x + -11x = 0
9 + -1x = -7 + 0
9 + -1x = -7

Add '-9' to each side of the equation.
9 + -9 + -1x = -7 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = -7 + -9
-1x = -7 + -9

Combine like terms: -7 + -9 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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