2x+101=6x-7

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Solution for 2x+101=6x-7 equation:


Simplifying
2x + 101 = 6x + -7

Reorder the terms:
101 + 2x = 6x + -7

Reorder the terms:
101 + 2x = -7 + 6x

Solving
101 + 2x = -7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
101 + 2x + -6x = -7 + 6x + -6x

Combine like terms: 2x + -6x = -4x
101 + -4x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
101 + -4x = -7 + 0
101 + -4x = -7

Add '-101' to each side of the equation.
101 + -101 + -4x = -7 + -101

Combine like terms: 101 + -101 = 0
0 + -4x = -7 + -101
-4x = -7 + -101

Combine like terms: -7 + -101 = -108
-4x = -108

Divide each side by '-4'.
x = 27

Simplifying
x = 27

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