6+5x=(x-3)-3(x-1)

Solution for 6+5x=(x-3)-3(x-1) equation:

Simplifying
6 + 5x = (x + -3) + -3(x + -1)

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

Remove parenthesis around (-3 + x)
6 + 5x = -3 + x + -3(x + -1)

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

Reorder the terms:
6 + 5x = -3 + 3 + x + -3x

Combine like terms: -3 + 3 = 0
6 + 5x = 0 + x + -3x
6 + 5x = x + -3x

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

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

Combine like terms: 5x + 2x = 7x
6 + 7x = -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 7x = 0

Add '-6' to each side of the equation.
6 + -6 + 7x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 0 + -6
7x = 0 + -6

Combine like terms: 0 + -6 = -6
7x = -6

Divide each side by '7'.
x = -0.8571428571

Simplifying
x = -0.8571428571