6x-51=2x-7

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


Simplifying
6x + -51 = 2x + -7

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

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

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

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-51 + 6x + -2x = -7 + 2x + -2x

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

Combine like terms: 2x + -2x = 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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