2(3x-51)-x=10-3x

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Solution for 2(3x-51)-x=10-3x equation:


Simplifying
2(3x + -51) + -1x = 10 + -3x

Reorder the terms:
2(-51 + 3x) + -1x = 10 + -3x
(-51 * 2 + 3x * 2) + -1x = 10 + -3x
(-102 + 6x) + -1x = 10 + -3x

Combine like terms: 6x + -1x = 5x
-102 + 5x = 10 + -3x

Solving
-102 + 5x = 10 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-102 + 5x + 3x = 10 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-102 + 8x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
-102 + 8x = 10 + 0
-102 + 8x = 10

Add '102' to each side of the equation.
-102 + 102 + 8x = 10 + 102

Combine like terms: -102 + 102 = 0
0 + 8x = 10 + 102
8x = 10 + 102

Combine like terms: 10 + 102 = 112
8x = 112

Divide each side by '8'.
x = 14

Simplifying
x = 14

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