6(2x-2)+3(2x+5)=30

Solution for 6(2x-2)+3(2x+5)=30 equation:

Simplifying
6(2x + -2) + 3(2x + 5) = 30

Reorder the terms:
6(-2 + 2x) + 3(2x + 5) = 30
(-2 * 6 + 2x * 6) + 3(2x + 5) = 30
(-12 + 12x) + 3(2x + 5) = 30

Reorder the terms:
-12 + 12x + 3(5 + 2x) = 30
-12 + 12x + (5 * 3 + 2x * 3) = 30
-12 + 12x + (15 + 6x) = 30

Reorder the terms:
-12 + 15 + 12x + 6x = 30

Combine like terms: -12 + 15 = 3
3 + 12x + 6x = 30

Combine like terms: 12x + 6x = 18x
3 + 18x = 30

Solving
3 + 18x = 30

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 18x = 30 + -3

Combine like terms: 3 + -3 = 0
0 + 18x = 30 + -3
18x = 30 + -3

Combine like terms: 30 + -3 = 27
18x = 27

Divide each side by '18'.
x = 1.5

Simplifying
x = 1.5