6x+55=16x-75

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Solution for 6x+55=16x-75 equation:


Simplifying
6x + 55 = 16x + -75

Reorder the terms:
55 + 6x = 16x + -75

Reorder the terms:
55 + 6x = -75 + 16x

Solving
55 + 6x = -75 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
55 + 6x + -16x = -75 + 16x + -16x

Combine like terms: 6x + -16x = -10x
55 + -10x = -75 + 16x + -16x

Combine like terms: 16x + -16x = 0
55 + -10x = -75 + 0
55 + -10x = -75

Add '-55' to each side of the equation.
55 + -55 + -10x = -75 + -55

Combine like terms: 55 + -55 = 0
0 + -10x = -75 + -55
-10x = -75 + -55

Combine like terms: -75 + -55 = -130
-10x = -130

Divide each side by '-10'.
x = 13

Simplifying
x = 13

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