10-3x=5x-6

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


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

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

Solving
10 + -3x = -6 + 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.
10 + -3x + -5x = -6 + 5x + -5x

Combine like terms: -3x + -5x = -8x
10 + -8x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -8x = -6 + 0
10 + -8x = -6

Add '-10' to each side of the equation.
10 + -10 + -8x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = -6 + -10
-8x = -6 + -10

Combine like terms: -6 + -10 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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