6x-105=11x+30

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Solution for 6x-105=11x+30 equation:


Simplifying
6x + -105 = 11x + 30

Reorder the terms:
-105 + 6x = 11x + 30

Reorder the terms:
-105 + 6x = 30 + 11x

Solving
-105 + 6x = 30 + 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.
-105 + 6x + -11x = 30 + 11x + -11x

Combine like terms: 6x + -11x = -5x
-105 + -5x = 30 + 11x + -11x

Combine like terms: 11x + -11x = 0
-105 + -5x = 30 + 0
-105 + -5x = 30

Add '105' to each side of the equation.
-105 + 105 + -5x = 30 + 105

Combine like terms: -105 + 105 = 0
0 + -5x = 30 + 105
-5x = 30 + 105

Combine like terms: 30 + 105 = 135
-5x = 135

Divide each side by '-5'.
x = -27

Simplifying
x = -27

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