6-3x=5x-10+12

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Solution for 6-3x=5x-10+12 equation:


Simplifying
6 + -3x = 5x + -10 + 12

Reorder the terms:
6 + -3x = -10 + 12 + 5x

Combine like terms: -10 + 12 = 2
6 + -3x = 2 + 5x

Solving
6 + -3x = 2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + -3x + -5x = 2 + 5x + -5x

Combine like terms: -3x + -5x = -8x
6 + -8x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -8x = 2 + 0
6 + -8x = 2

Add '-6' to each side of the equation.
6 + -6 + -8x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 2 + -6
-8x = 2 + -6

Combine like terms: 2 + -6 = -4
-8x = -4

Divide each side by '-8'.
x = 0.5

Simplifying
x = 0.5

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