3(2x-4)+6(x-3)=30

Solution for 3(2x-4)+6(x-3)=30 equation:

Simplifying
3(2x + -4) + 6(x + -3) = 30

Reorder the terms:
3(-4 + 2x) + 6(x + -3) = 30
(-4 * 3 + 2x * 3) + 6(x + -3) = 30
(-12 + 6x) + 6(x + -3) = 30

Reorder the terms:
-12 + 6x + 6(-3 + x) = 30
-12 + 6x + (-3 * 6 + x * 6) = 30
-12 + 6x + (-18 + 6x) = 30

Reorder the terms:
-12 + -18 + 6x + 6x = 30

Combine like terms: -12 + -18 = -30
-30 + 6x + 6x = 30

Combine like terms: 6x + 6x = 12x
-30 + 12x = 30

Solving
-30 + 12x = 30

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 = 30 + 30

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

Combine like terms: 30 + 30 = 60
12x = 60

Divide each side by '12'.
x = 5

Simplifying
x = 5