11x-9=10(x-1)-3

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Solution for 11x-9=10(x-1)-3 equation:


Simplifying
11x + -9 = 10(x + -1) + -3

Reorder the terms:
-9 + 11x = 10(x + -1) + -3

Reorder the terms:
-9 + 11x = 10(-1 + x) + -3
-9 + 11x = (-1 * 10 + x * 10) + -3
-9 + 11x = (-10 + 10x) + -3

Reorder the terms:
-9 + 11x = -10 + -3 + 10x

Combine like terms: -10 + -3 = -13
-9 + 11x = -13 + 10x

Solving
-9 + 11x = -13 + 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.
-9 + 11x + -10x = -13 + 10x + -10x

Combine like terms: 11x + -10x = 1x
-9 + 1x = -13 + 10x + -10x

Combine like terms: 10x + -10x = 0
-9 + 1x = -13 + 0
-9 + 1x = -13

Add '9' to each side of the equation.
-9 + 9 + 1x = -13 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = -13 + 9
1x = -13 + 9

Combine like terms: -13 + 9 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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