6x-2=15x-101

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Solution for 6x-2=15x-101 equation:


Simplifying
6x + -2 = 15x + -101

Reorder the terms:
-2 + 6x = 15x + -101

Reorder the terms:
-2 + 6x = -101 + 15x

Solving
-2 + 6x = -101 + 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.
-2 + 6x + -15x = -101 + 15x + -15x

Combine like terms: 6x + -15x = -9x
-2 + -9x = -101 + 15x + -15x

Combine like terms: 15x + -15x = 0
-2 + -9x = -101 + 0
-2 + -9x = -101

Add '2' to each side of the equation.
-2 + 2 + -9x = -101 + 2

Combine like terms: -2 + 2 = 0
0 + -9x = -101 + 2
-9x = -101 + 2

Combine like terms: -101 + 2 = -99
-9x = -99

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

Simplifying
x = 11

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