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

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

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

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

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

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

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

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

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

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

Solving
3 + 4x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3 + 4x + x = -1x + x

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

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

Add '-3' to each side of the equation.
3 + -3 + 5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 0 + -3
5x = 0 + -3

Combine like terms: 0 + -3 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6