2x+10-x=8+3x-6

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Solution for 2x+10-x=8+3x-6 equation:


Simplifying
2x + 10 + -1x = 8 + 3x + -6

Reorder the terms:
10 + 2x + -1x = 8 + 3x + -6

Combine like terms: 2x + -1x = 1x
10 + 1x = 8 + 3x + -6

Reorder the terms:
10 + 1x = 8 + -6 + 3x

Combine like terms: 8 + -6 = 2
10 + 1x = 2 + 3x

Solving
10 + 1x = 2 + 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 = 2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
10 + -2x = 2 + 0
10 + -2x = 2

Add '-10' to each side of the equation.
10 + -10 + -2x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 2 + -10
-2x = 2 + -10

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

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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