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

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


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

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

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

Combine like terms: 6x + -2x = 4x
10 + 3x = 2 + 4x

Solving
10 + 3x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 3x + -4x = 2 + 4x + -4x

Combine like terms: 3x + -4x = -1x
10 + -1x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -1x = 2 + 0
10 + -1x = 2

Add '-10' to each side of the equation.
10 + -10 + -1x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 2 + -10
-1x = 2 + -10

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

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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