2x+6-3(x-1)=2

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Solution for 2x+6-3(x-1)=2 equation:


Simplifying
2x + 6 + -3(x + -1) = 2

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

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

Combine like terms: 6 + 3 = 9
9 + 2x + -3x = 2

Combine like terms: 2x + -3x = -1x
9 + -1x = 2

Solving
9 + -1x = 2

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 2 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 2 + -9
-1x = 2 + -9

Combine like terms: 2 + -9 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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