6x-16=13x+61

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Solution for 6x-16=13x+61 equation:


Simplifying
6x + -16 = 13x + 61

Reorder the terms:
-16 + 6x = 13x + 61

Reorder the terms:
-16 + 6x = 61 + 13x

Solving
-16 + 6x = 61 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-16 + 6x + -13x = 61 + 13x + -13x

Combine like terms: 6x + -13x = -7x
-16 + -7x = 61 + 13x + -13x

Combine like terms: 13x + -13x = 0
-16 + -7x = 61 + 0
-16 + -7x = 61

Add '16' to each side of the equation.
-16 + 16 + -7x = 61 + 16

Combine like terms: -16 + 16 = 0
0 + -7x = 61 + 16
-7x = 61 + 16

Combine like terms: 61 + 16 = 77
-7x = 77

Divide each side by '-7'.
x = -11

Simplifying
x = -11

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