6(1-3x)=8-(5+x)

Solution for 6(1-3x)=8-(5+x) equation:

Simplifying
6(1 + -3x) = 8 + -1(5 + x)
(1 * 6 + -3x * 6) = 8 + -1(5 + x)
(6 + -18x) = 8 + -1(5 + x)
6 + -18x = 8 + (5 * -1 + x * -1)
6 + -18x = 8 + (-5 + -1x)

Combine like terms: 8 + -5 = 3
6 + -18x = 3 + -1x

Solving
6 + -18x = 3 + -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 + -18x + x = 3 + -1x + x

Combine like terms: -18x + x = -17x
6 + -17x = 3 + -1x + x

Combine like terms: -1x + x = 0
6 + -17x = 3 + 0
6 + -17x = 3

Add '-6' to each side of the equation.
6 + -6 + -17x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -17x = 3 + -6
-17x = 3 + -6

Combine like terms: 3 + -6 = -3
-17x = -3

Divide each side by '-17'.
x = 0.1764705882

Simplifying
x = 0.1764705882