9-10(9+x)=x-114

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Solution for 9-10(9+x)=x-114 equation:


Simplifying
9 + -10(9 + x) = x + -114
9 + (9 * -10 + x * -10) = x + -114
9 + (-90 + -10x) = x + -114

Combine like terms: 9 + -90 = -81
-81 + -10x = x + -114

Reorder the terms:
-81 + -10x = -114 + x

Solving
-81 + -10x = -114 + 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.
-81 + -10x + -1x = -114 + x + -1x

Combine like terms: -10x + -1x = -11x
-81 + -11x = -114 + x + -1x

Combine like terms: x + -1x = 0
-81 + -11x = -114 + 0
-81 + -11x = -114

Add '81' to each side of the equation.
-81 + 81 + -11x = -114 + 81

Combine like terms: -81 + 81 = 0
0 + -11x = -114 + 81
-11x = -114 + 81

Combine like terms: -114 + 81 = -33
-11x = -33

Divide each side by '-11'.
x = 3

Simplifying
x = 3

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