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

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

Simplifying
x + 3(2 + -6x) = 4 + -1(x + 2)
x + (2 * 3 + -6x * 3) = 4 + -1(x + 2)
x + (6 + -18x) = 4 + -1(x + 2)

Reorder the terms:
6 + x + -18x = 4 + -1(x + 2)

Combine like terms: x + -18x = -17x
6 + -17x = 4 + -1(x + 2)

Reorder the terms:
6 + -17x = 4 + -1(2 + x)
6 + -17x = 4 + (2 * -1 + x * -1)
6 + -17x = 4 + (-2 + -1x)

Combine like terms: 4 + -2 = 2
6 + -17x = 2 + -1x

Solving
6 + -17x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + -17x + x = 2 + -1x + x

Combine like terms: -17x + x = -16x
6 + -16x = 2 + -1x + x

Combine like terms: -1x + x = 0
6 + -16x = 2 + 0
6 + -16x = 2

Add '-6' to each side of the equation.
6 + -6 + -16x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -16x = 2 + -6
-16x = 2 + -6

Combine like terms: 2 + -6 = -4
-16x = -4

Divide each side by '-16'.
x = 0.25

Simplifying
x = 0.25