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

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


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

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

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

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

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

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

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

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

Combine like terms: 3x + -3x = 0
2 + -2x = -6 + 0
2 + -2x = -6

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

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

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

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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