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

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


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

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

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

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

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

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

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

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

Combine like terms: 3x + -3x = 0
1 + -2x = -6 + 0
1 + -2x = -6

Add '-1' to each side of the equation.
1 + -1 + -2x = -6 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = -6 + -1
-2x = -6 + -1

Combine like terms: -6 + -1 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5

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