2x+51=6x+7

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Solution for 2x+51=6x+7 equation:


Simplifying
2x + 51 = 6x + 7

Reorder the terms:
51 + 2x = 6x + 7

Reorder the terms:
51 + 2x = 7 + 6x

Solving
51 + 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.
51 + 2x + -6x = 7 + 6x + -6x

Combine like terms: 2x + -6x = -4x
51 + -4x = 7 + 6x + -6x

Combine like terms: 6x + -6x = 0
51 + -4x = 7 + 0
51 + -4x = 7

Add '-51' to each side of the equation.
51 + -51 + -4x = 7 + -51

Combine like terms: 51 + -51 = 0
0 + -4x = 7 + -51
-4x = 7 + -51

Combine like terms: 7 + -51 = -44
-4x = -44

Divide each side by '-4'.
x = 11

Simplifying
x = 11

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