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

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

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

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

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

Multiply -3 * 1
6 + -2x = -3

Solving
6 + -2x = -3

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -2x = -3 + -6

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

Combine like terms: -3 + -6 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5