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

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

Simplifying
2(x + -3) + -1(4x + -5) = 0

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

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

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

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

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

Solving
-1 + -2x = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + -2x = 0 + 1

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

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

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5