11x-9=10(x-5)-3

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Solution for 11x-9=10(x-5)-3 equation:


Simplifying
11x + -9 = 10(x + -5) + -3

Reorder the terms:
-9 + 11x = 10(x + -5) + -3

Reorder the terms:
-9 + 11x = 10(-5 + x) + -3
-9 + 11x = (-5 * 10 + x * 10) + -3
-9 + 11x = (-50 + 10x) + -3

Reorder the terms:
-9 + 11x = -50 + -3 + 10x

Combine like terms: -50 + -3 = -53
-9 + 11x = -53 + 10x

Solving
-9 + 11x = -53 + 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 = -53 + 10x + -10x

Combine like terms: 11x + -10x = 1x
-9 + 1x = -53 + 10x + -10x

Combine like terms: 10x + -10x = 0
-9 + 1x = -53 + 0
-9 + 1x = -53

Add '9' to each side of the equation.
-9 + 9 + 1x = -53 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = -53 + 9
1x = -53 + 9

Combine like terms: -53 + 9 = -44
1x = -44

Divide each side by '1'.
x = -44

Simplifying
x = -44

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