-6(x-10)=11(x-10)+238

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Solution for -6(x-10)=11(x-10)+238 equation:


Simplifying
-6(x + -10) = 11(x + -10) + 238

Reorder the terms:
-6(-10 + x) = 11(x + -10) + 238
(-10 * -6 + x * -6) = 11(x + -10) + 238
(60 + -6x) = 11(x + -10) + 238

Reorder the terms:
60 + -6x = 11(-10 + x) + 238
60 + -6x = (-10 * 11 + x * 11) + 238
60 + -6x = (-110 + 11x) + 238

Reorder the terms:
60 + -6x = -110 + 238 + 11x

Combine like terms: -110 + 238 = 128
60 + -6x = 128 + 11x

Solving
60 + -6x = 128 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
60 + -6x + -11x = 128 + 11x + -11x

Combine like terms: -6x + -11x = -17x
60 + -17x = 128 + 11x + -11x

Combine like terms: 11x + -11x = 0
60 + -17x = 128 + 0
60 + -17x = 128

Add '-60' to each side of the equation.
60 + -60 + -17x = 128 + -60

Combine like terms: 60 + -60 = 0
0 + -17x = 128 + -60
-17x = 128 + -60

Combine like terms: 128 + -60 = 68
-17x = 68

Divide each side by '-17'.
x = -4

Simplifying
x = -4

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