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

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

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

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

Combine like terms: 6 + 3 = 9
9 + -3x = 5 + x

Solving
9 + -3x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
9 + -3x + -1x = 5 + x + -1x

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

Combine like terms: x + -1x = 0
9 + -4x = 5 + 0
9 + -4x = 5

Add '-9' to each side of the equation.
9 + -9 + -4x = 5 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 5 + -9
-4x = 5 + -9

Combine like terms: 5 + -9 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1