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

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

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

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

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

Reorder the terms:
-6 + 5 + 2x + -2x = 2(x + 1) + 1

Combine like terms: -6 + 5 = -1
-1 + 2x + -2x = 2(x + 1) + 1

Combine like terms: 2x + -2x = 0
-1 + 0 = 2(x + 1) + 1
-1 = 2(x + 1) + 1

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

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

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

Solving
-1 = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-1 + -2x = 3 + 2x + -2x

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

Add '1' to each side of the equation.
-1 + 1 + -2x = 3 + 1

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

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

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

Simplifying
x = -2