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

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

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

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

Combine like terms: 4 + 5 = 9
9 + -1x = 2(x + -3) + -1(3 + 2x)

Reorder the terms:
9 + -1x = 2(-3 + x) + -1(3 + 2x)
9 + -1x = (-3 * 2 + x * 2) + -1(3 + 2x)
9 + -1x = (-6 + 2x) + -1(3 + 2x)
9 + -1x = -6 + 2x + (3 * -1 + 2x * -1)
9 + -1x = -6 + 2x + (-3 + -2x)

Reorder the terms:
9 + -1x = -6 + -3 + 2x + -2x

Combine like terms: -6 + -3 = -9
9 + -1x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -1x = -9 + 0
9 + -1x = -9

Solving
9 + -1x = -9

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -1x = -9 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = -9 + -9
-1x = -9 + -9

Combine like terms: -9 + -9 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18