7x+51=2x-13

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Solution for 7x+51=2x-13 equation:


Simplifying
7x + 51 = 2x + -13

Reorder the terms:
51 + 7x = 2x + -13

Reorder the terms:
51 + 7x = -13 + 2x

Solving
51 + 7x = -13 + 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 + 7x + -2x = -13 + 2x + -2x

Combine like terms: 7x + -2x = 5x
51 + 5x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
51 + 5x = -13 + 0
51 + 5x = -13

Add '-51' to each side of the equation.
51 + -51 + 5x = -13 + -51

Combine like terms: 51 + -51 = 0
0 + 5x = -13 + -51
5x = -13 + -51

Combine like terms: -13 + -51 = -64
5x = -64

Divide each side by '5'.
x = -12.8

Simplifying
x = -12.8

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