6x+55=11x-10

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Solution for 6x+55=11x-10 equation:


Simplifying
6x + 55 = 11x + -10

Reorder the terms:
55 + 6x = 11x + -10

Reorder the terms:
55 + 6x = -10 + 11x

Solving
55 + 6x = -10 + 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.
55 + 6x + -11x = -10 + 11x + -11x

Combine like terms: 6x + -11x = -5x
55 + -5x = -10 + 11x + -11x

Combine like terms: 11x + -11x = 0
55 + -5x = -10 + 0
55 + -5x = -10

Add '-55' to each side of the equation.
55 + -55 + -5x = -10 + -55

Combine like terms: 55 + -55 = 0
0 + -5x = -10 + -55
-5x = -10 + -55

Combine like terms: -10 + -55 = -65
-5x = -65

Divide each side by '-5'.
x = 13

Simplifying
x = 13

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