19=3(x-1)-(x-6)

Solution for 19=3(x-1)-(x-6) equation:

Simplifying
19 = 3(x + -1) + -1(x + -6)

Reorder the terms:
19 = 3(-1 + x) + -1(x + -6)
19 = (-1 * 3 + x * 3) + -1(x + -6)
19 = (-3 + 3x) + -1(x + -6)

Reorder the terms:
19 = -3 + 3x + -1(-6 + x)
19 = -3 + 3x + (-6 * -1 + x * -1)
19 = -3 + 3x + (6 + -1x)

Reorder the terms:
19 = -3 + 6 + 3x + -1x

Combine like terms: -3 + 6 = 3
19 = 3 + 3x + -1x

Combine like terms: 3x + -1x = 2x
19 = 3 + 2x

Solving
19 = 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.
19 + -2x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
19 + -2x = 3 + 0
19 + -2x = 3

Add '-19' to each side of the equation.
19 + -19 + -2x = 3 + -19

Combine like terms: 19 + -19 = 0
0 + -2x = 3 + -19
-2x = 3 + -19

Combine like terms: 3 + -19 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8