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

Solution for 5-(x-1)=3-2(x+4) equation:

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

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

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

Reorder the terms:
6 + -1x = 3 + -2(4 + x)
6 + -1x = 3 + (4 * -2 + x * -2)
6 + -1x = 3 + (-8 + -2x)

Combine like terms: 3 + -8 = -5
6 + -1x = -5 + -2x

Solving
6 + -1x = -5 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6 + -1x + 2x = -5 + -2x + 2x

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

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

Add '-6' to each side of the equation.
6 + -6 + 1x = -5 + -6

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

Combine like terms: -5 + -6 = -11
1x = -11

Divide each side by '1'.
x = -11

Simplifying
x = -11