10-2x+x=3x-6

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Solution for 10-2x+x=3x-6 equation:


Simplifying
10 + -2x + x = 3x + -6

Combine like terms: -2x + x = -1x
10 + -1x = 3x + -6

Reorder the terms:
10 + -1x = -6 + 3x

Solving
10 + -1x = -6 + 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.
10 + -1x + -3x = -6 + 3x + -3x

Combine like terms: -1x + -3x = -4x
10 + -4x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -4x = -6 + 0
10 + -4x = -6

Add '-10' to each side of the equation.
10 + -10 + -4x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = -6 + -10
-4x = -6 + -10

Combine like terms: -6 + -10 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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