11x-10=10(x-1)-9

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Solution for 11x-10=10(x-1)-9 equation:


Simplifying
11x + -10 = 10(x + -1) + -9

Reorder the terms:
-10 + 11x = 10(x + -1) + -9

Reorder the terms:
-10 + 11x = 10(-1 + x) + -9
-10 + 11x = (-1 * 10 + x * 10) + -9
-10 + 11x = (-10 + 10x) + -9

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

Combine like terms: -10 + -9 = -19
-10 + 11x = -19 + 10x

Solving
-10 + 11x = -19 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-10 + 11x + -10x = -19 + 10x + -10x

Combine like terms: 11x + -10x = 1x
-10 + 1x = -19 + 10x + -10x

Combine like terms: 10x + -10x = 0
-10 + 1x = -19 + 0
-10 + 1x = -19

Add '10' to each side of the equation.
-10 + 10 + 1x = -19 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -19 + 10
1x = -19 + 10

Combine like terms: -19 + 10 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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