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

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

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

Remove parenthesis around (3 + 2x)
5x + 3 + 2x = 1 + -1(x + -1)

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

Combine like terms: 5x + 2x = 7x
3 + 7x = 1 + -1(x + -1)

Reorder the terms:
3 + 7x = 1 + -1(-1 + x)
3 + 7x = 1 + (-1 * -1 + x * -1)
3 + 7x = 1 + (1 + -1x)

Combine like terms: 1 + 1 = 2
3 + 7x = 2 + -1x

Solving
3 + 7x = 2 + -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 + 7x + x = 2 + -1x + x

Combine like terms: 7x + x = 8x
3 + 8x = 2 + -1x + x

Combine like terms: -1x + x = 0
3 + 8x = 2 + 0
3 + 8x = 2

Add '-3' to each side of the equation.
3 + -3 + 8x = 2 + -3

Combine like terms: 3 + -3 = 0
0 + 8x = 2 + -3
8x = 2 + -3

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

Divide each side by '8'.
x = -0.125

Simplifying
x = -0.125