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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

Simplifying
x = 7

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