3(x-2)-x+4=10

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Solution for 3(x-2)-x+4=10 equation: 


Simplifying
3(x + -2) + -1x + 4 = 10

Reorder the terms:
3(-2 + x) + -1x + 4 = 10
(-2 * 3 + x * 3) + -1x + 4 = 10
(-6 + 3x) + -1x + 4 = 10

Reorder the terms:
-6 + 4 + 3x + -1x = 10

Combine like terms: -6 + 4 = -2
-2 + 3x + -1x = 10

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

Solving
-2 + 2x = 10

Solving for variable 'x'.

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

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

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

Combine like terms: 10 + 2 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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