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

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

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

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

Solving
6 + 2x = -1 + 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.
6 + 2x + -3x = -1 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
6 + -1x = -1 + 0
6 + -1x = -1

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

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

Combine like terms: -1 + -6 = -7
-1x = -7

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

Simplifying
x = 7

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