6(1-x)-(x+2)=3+2(x-4)

Solution for 6(1-x)-(x+2)=3+2(x-4) equation:

Simplifying
6(1 + -1x) + -1(x + 2) = 3 + 2(x + -4)
(1 * 6 + -1x * 6) + -1(x + 2) = 3 + 2(x + -4)
(6 + -6x) + -1(x + 2) = 3 + 2(x + -4)

Reorder the terms:
6 + -6x + -1(2 + x) = 3 + 2(x + -4)
6 + -6x + (2 * -1 + x * -1) = 3 + 2(x + -4)
6 + -6x + (-2 + -1x) = 3 + 2(x + -4)

Reorder the terms:
6 + -2 + -6x + -1x = 3 + 2(x + -4)

Combine like terms: 6 + -2 = 4
4 + -6x + -1x = 3 + 2(x + -4)

Combine like terms: -6x + -1x = -7x
4 + -7x = 3 + 2(x + -4)

Reorder the terms:
4 + -7x = 3 + 2(-4 + x)
4 + -7x = 3 + (-4 * 2 + x * 2)
4 + -7x = 3 + (-8 + 2x)

Combine like terms: 3 + -8 = -5
4 + -7x = -5 + 2x

Solving
4 + -7x = -5 + 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.
4 + -7x + -2x = -5 + 2x + -2x

Combine like terms: -7x + -2x = -9x
4 + -9x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -9x = -5 + 0
4 + -9x = -5

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

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

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

Divide each side by '-9'.
x = 1

Simplifying
x = 1