11x-14=5(2x-5)-11

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Solution for 11x-14=5(2x-5)-11 equation:


Simplifying
11x + -14 = 5(2x + -5) + -11

Reorder the terms:
-14 + 11x = 5(2x + -5) + -11

Reorder the terms:
-14 + 11x = 5(-5 + 2x) + -11
-14 + 11x = (-5 * 5 + 2x * 5) + -11
-14 + 11x = (-25 + 10x) + -11

Reorder the terms:
-14 + 11x = -25 + -11 + 10x

Combine like terms: -25 + -11 = -36
-14 + 11x = -36 + 10x

Solving
-14 + 11x = -36 + 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.
-14 + 11x + -10x = -36 + 10x + -10x

Combine like terms: 11x + -10x = 1x
-14 + 1x = -36 + 10x + -10x

Combine like terms: 10x + -10x = 0
-14 + 1x = -36 + 0
-14 + 1x = -36

Add '14' to each side of the equation.
-14 + 14 + 1x = -36 + 14

Combine like terms: -14 + 14 = 0
0 + 1x = -36 + 14
1x = -36 + 14

Combine like terms: -36 + 14 = -22
1x = -22

Divide each side by '1'.
x = -22

Simplifying
x = -22

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