6([x-5]-3x)=3

Solution for 6([x-5]-3x)=3 equation:

Simplifying
6([x + -5] + -3x) = 3

Reorder the terms:
6([-5 + x] + -3x) = 3

Remove brackets around [-5 + x]
6(-5 + x + -3x) = 3

Combine like terms: x + -3x = -2x
6(-5 + -2x) = 3
(-5 * 6 + -2x * 6) = 3
(-30 + -12x) = 3

Solving
-30 + -12x = 3

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + -12x = 3 + 30

Combine like terms: -30 + 30 = 0
0 + -12x = 3 + 30
-12x = 3 + 30

Combine like terms: 3 + 30 = 33
-12x = 33

Divide each side by '-12'.
x = -2.75

Simplifying
x = -2.75