3(x-2)=10+x-2

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Solution for 3(x-2)=10+x-2 equation: 


Simplifying
3(x + -2) = 10 + x + -2

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

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

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

Solving
-6 + 3x = 8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 3x + -1x = 8 + x + -1x

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

Combine like terms: x + -1x = 0
-6 + 2x = 8 + 0
-6 + 2x = 8

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

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

Combine like terms: 8 + 6 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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