(2x-5)-2(2x-3)+3(2x+1)=0

Solution for (2x-5)-2(2x-3)+3(2x+1)=0 equation:

Simplifying
(2x + -5) + -2(2x + -3) + 3(2x + 1) = 0

Reorder the terms:
(-5 + 2x) + -2(2x + -3) + 3(2x + 1) = 0

Remove parenthesis around (-5 + 2x)
-5 + 2x + -2(2x + -3) + 3(2x + 1) = 0

Reorder the terms:
-5 + 2x + -2(-3 + 2x) + 3(2x + 1) = 0
-5 + 2x + (-3 * -2 + 2x * -2) + 3(2x + 1) = 0
-5 + 2x + (6 + -4x) + 3(2x + 1) = 0

Reorder the terms:
-5 + 2x + 6 + -4x + 3(1 + 2x) = 0
-5 + 2x + 6 + -4x + (1 * 3 + 2x * 3) = 0
-5 + 2x + 6 + -4x + (3 + 6x) = 0

Reorder the terms:
-5 + 6 + 3 + 2x + -4x + 6x = 0

Combine like terms: -5 + 6 = 1
1 + 3 + 2x + -4x + 6x = 0

Combine like terms: 1 + 3 = 4
4 + 2x + -4x + 6x = 0

Combine like terms: 2x + -4x = -2x
4 + -2x + 6x = 0

Combine like terms: -2x + 6x = 4x
4 + 4x = 0

Solving
4 + 4x = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 4x = 0 + -4

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

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

Divide each side by '4'.
x = -1

Simplifying
x = -1