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

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

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

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

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

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

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

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

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

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

Solving
1 + 2x = -6 + 1x

Solving for variable 'x'.

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

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

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

Combine like terms: 1x + -1x = 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