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

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

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

Reorder the terms:
-2(-3 + x) = 4(3 + -2x) + 5
(-3 * -2 + x * -2) = 4(3 + -2x) + 5
(6 + -2x) = 4(3 + -2x) + 5
6 + -2x = (3 * 4 + -2x * 4) + 5
6 + -2x = (12 + -8x) + 5

Reorder the terms:
6 + -2x = 12 + 5 + -8x

Combine like terms: 12 + 5 = 17
6 + -2x = 17 + -8x

Solving
6 + -2x = 17 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
6 + -2x + 8x = 17 + -8x + 8x

Combine like terms: -2x + 8x = 6x
6 + 6x = 17 + -8x + 8x

Combine like terms: -8x + 8x = 0
6 + 6x = 17 + 0
6 + 6x = 17

Add '-6' to each side of the equation.
6 + -6 + 6x = 17 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 17 + -6
6x = 17 + -6

Combine like terms: 17 + -6 = 11
6x = 11

Divide each side by '6'.
x = 1.833333333

Simplifying
x = 1.833333333