10(x-10)-11=14x-155

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Solution for 10(x-10)-11=14x-155 equation:


Simplifying
10(x + -10) + -11 = 14x + -155

Reorder the terms:
10(-10 + x) + -11 = 14x + -155
(-10 * 10 + x * 10) + -11 = 14x + -155
(-100 + 10x) + -11 = 14x + -155

Reorder the terms:
-100 + -11 + 10x = 14x + -155

Combine like terms: -100 + -11 = -111
-111 + 10x = 14x + -155

Reorder the terms:
-111 + 10x = -155 + 14x

Solving
-111 + 10x = -155 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-111 + 10x + -14x = -155 + 14x + -14x

Combine like terms: 10x + -14x = -4x
-111 + -4x = -155 + 14x + -14x

Combine like terms: 14x + -14x = 0
-111 + -4x = -155 + 0
-111 + -4x = -155

Add '111' to each side of the equation.
-111 + 111 + -4x = -155 + 111

Combine like terms: -111 + 111 = 0
0 + -4x = -155 + 111
-4x = -155 + 111

Combine like terms: -155 + 111 = -44
-4x = -44

Divide each side by '-4'.
x = 11

Simplifying
x = 11

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