(2x+3)-(x+4-2x)=5-(x+2)

Solution for (2x+3)-(x+4-2x)=5-(x+2) equation:

Simplifying
(2x + 3) + -1(x + 4 + -2x) = 5 + -1(x + 2)

Reorder the terms:
(3 + 2x) + -1(x + 4 + -2x) = 5 + -1(x + 2)

Remove parenthesis around (3 + 2x)
3 + 2x + -1(x + 4 + -2x) = 5 + -1(x + 2)

Reorder the terms:
3 + 2x + -1(4 + x + -2x) = 5 + -1(x + 2)

Combine like terms: x + -2x = -1x
3 + 2x + -1(4 + -1x) = 5 + -1(x + 2)
3 + 2x + (4 * -1 + -1x * -1) = 5 + -1(x + 2)
3 + 2x + (-4 + 1x) = 5 + -1(x + 2)

Reorder the terms:
3 + -4 + 2x + 1x = 5 + -1(x + 2)

Combine like terms: 3 + -4 = -1
-1 + 2x + 1x = 5 + -1(x + 2)

Combine like terms: 2x + 1x = 3x
-1 + 3x = 5 + -1(x + 2)

Reorder the terms:
-1 + 3x = 5 + -1(2 + x)
-1 + 3x = 5 + (2 * -1 + x * -1)
-1 + 3x = 5 + (-2 + -1x)

Combine like terms: 5 + -2 = 3
-1 + 3x = 3 + -1x

Solving
-1 + 3x = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-1 + 3x + x = 3 + -1x + x

Combine like terms: 3x + x = 4x
-1 + 4x = 3 + -1x + x

Combine like terms: -1x + x = 0
-1 + 4x = 3 + 0
-1 + 4x = 3

Add '1' to each side of the equation.
-1 + 1 + 4x = 3 + 1

Combine like terms: -1 + 1 = 0
0 + 4x = 3 + 1
4x = 3 + 1

Combine like terms: 3 + 1 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1