3(5x-2)-6(x+6)=3

Solution for 3(5x-2)-6(x+6)=3 equation:

Simplifying
3(5x + -2) + -6(x + 6) = 3

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

Reorder the terms:
-6 + 15x + -6(6 + x) = 3
-6 + 15x + (6 * -6 + x * -6) = 3
-6 + 15x + (-36 + -6x) = 3

Reorder the terms:
-6 + -36 + 15x + -6x = 3

Combine like terms: -6 + -36 = -42
-42 + 15x + -6x = 3

Combine like terms: 15x + -6x = 9x
-42 + 9x = 3

Solving
-42 + 9x = 3

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 42 + 9x = 3 + 42

Combine like terms: -42 + 42 = 0
0 + 9x = 3 + 42
9x = 3 + 42

Combine like terms: 3 + 42 = 45
9x = 45

Divide each side by '9'.
x = 5

Simplifying
x = 5