11=3(x-1)-(x-6)

Solution for 11=3(x-1)-(x-6) equation:

Simplifying
11 = 3(x + -1) + -1(x + -6)

Reorder the terms:
11 = 3(-1 + x) + -1(x + -6)
11 = (-1 * 3 + x * 3) + -1(x + -6)
11 = (-3 + 3x) + -1(x + -6)

Reorder the terms:
11 = -3 + 3x + -1(-6 + x)
11 = -3 + 3x + (-6 * -1 + x * -1)
11 = -3 + 3x + (6 + -1x)

Reorder the terms:
11 = -3 + 6 + 3x + -1x

Combine like terms: -3 + 6 = 3
11 = 3 + 3x + -1x

Combine like terms: 3x + -1x = 2x
11 = 3 + 2x

Solving
11 = 3 + 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.
11 + -2x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + -2x = 3 + 0
11 + -2x = 3

Add '-11' to each side of the equation.
11 + -11 + -2x = 3 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 3 + -11
-2x = 3 + -11

Combine like terms: 3 + -11 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4