6x+16=15x-83

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Solution for 6x+16=15x-83 equation:


Simplifying
6x + 16 = 15x + -83

Reorder the terms:
16 + 6x = 15x + -83

Reorder the terms:
16 + 6x = -83 + 15x

Solving
16 + 6x = -83 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
16 + 6x + -15x = -83 + 15x + -15x

Combine like terms: 6x + -15x = -9x
16 + -9x = -83 + 15x + -15x

Combine like terms: 15x + -15x = 0
16 + -9x = -83 + 0
16 + -9x = -83

Add '-16' to each side of the equation.
16 + -16 + -9x = -83 + -16

Combine like terms: 16 + -16 = 0
0 + -9x = -83 + -16
-9x = -83 + -16

Combine like terms: -83 + -16 = -99
-9x = -99

Divide each side by '-9'.
x = 11

Simplifying
x = 11

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