2x+101=8x-13

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Solution for 2x+101=8x-13 equation:


Simplifying
2x + 101 = 8x + -13

Reorder the terms:
101 + 2x = 8x + -13

Reorder the terms:
101 + 2x = -13 + 8x

Solving
101 + 2x = -13 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
101 + 2x + -8x = -13 + 8x + -8x

Combine like terms: 2x + -8x = -6x
101 + -6x = -13 + 8x + -8x

Combine like terms: 8x + -8x = 0
101 + -6x = -13 + 0
101 + -6x = -13

Add '-101' to each side of the equation.
101 + -101 + -6x = -13 + -101

Combine like terms: 101 + -101 = 0
0 + -6x = -13 + -101
-6x = -13 + -101

Combine like terms: -13 + -101 = -114
-6x = -114

Divide each side by '-6'.
x = 19

Simplifying
x = 19

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