3(x-2)=5-15x

Solution for 3(x-2)=5-15x equation:

Simplifying
3(x + -2) = 5 + -15x

Reorder the terms:
3(-2 + x) = 5 + -15x
(-2 * 3 + x * 3) = 5 + -15x
(-6 + 3x) = 5 + -15x

Solving
-6 + 3x = 5 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-6 + 3x + 15x = 5 + -15x + 15x

Combine like terms: 3x + 15x = 18x
-6 + 18x = 5 + -15x + 15x

Combine like terms: -15x + 15x = 0
-6 + 18x = 5 + 0
-6 + 18x = 5

Add '6' to each side of the equation.
-6 + 6 + 18x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 18x = 5 + 6
18x = 5 + 6

Combine like terms: 5 + 6 = 11
18x = 11

Divide each side by '18'.
x = 0.6111111111

Simplifying
x = 0.6111111111