10x-13=2x-51

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Solution for 10x-13=2x-51 equation:


Simplifying
10x + -13 = 2x + -51

Reorder the terms:
-13 + 10x = 2x + -51

Reorder the terms:
-13 + 10x = -51 + 2x

Solving
-13 + 10x = -51 + 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.
-13 + 10x + -2x = -51 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-13 + 8x = -51 + 2x + -2x

Combine like terms: 2x + -2x = 0
-13 + 8x = -51 + 0
-13 + 8x = -51

Add '13' to each side of the equation.
-13 + 13 + 8x = -51 + 13

Combine like terms: -13 + 13 = 0
0 + 8x = -51 + 13
8x = -51 + 13

Combine like terms: -51 + 13 = -38
8x = -38

Divide each side by '8'.
x = -4.75

Simplifying
x = -4.75

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