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

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

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

Reorder the terms:
3(3 + 2x) + 3(x + -2) = 30
(3 * 3 + 2x * 3) + 3(x + -2) = 30
(9 + 6x) + 3(x + -2) = 30

Reorder the terms:
9 + 6x + 3(-2 + x) = 30
9 + 6x + (-2 * 3 + x * 3) = 30
9 + 6x + (-6 + 3x) = 30

Reorder the terms:
9 + -6 + 6x + 3x = 30

Combine like terms: 9 + -6 = 3
3 + 6x + 3x = 30

Combine like terms: 6x + 3x = 9x
3 + 9x = 30

Solving
3 + 9x = 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 + 9x = 30 + -3

Combine like terms: 3 + -3 = 0
0 + 9x = 30 + -3
9x = 30 + -3

Combine like terms: 30 + -3 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3