3(2+4x)+3(5-x)=30

Solution for 3(2+4x)+3(5-x)=30 equation:

Simplifying
3(2 + 4x) + 3(5 + -1x) = 30
(2 * 3 + 4x * 3) + 3(5 + -1x) = 30
(6 + 12x) + 3(5 + -1x) = 30
6 + 12x + (5 * 3 + -1x * 3) = 30
6 + 12x + (15 + -3x) = 30

Reorder the terms:
6 + 15 + 12x + -3x = 30

Combine like terms: 6 + 15 = 21
21 + 12x + -3x = 30

Combine like terms: 12x + -3x = 9x
21 + 9x = 30

Solving
21 + 9x = 30

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + 9x = 30 + -21

Combine like terms: 21 + -21 = 0
0 + 9x = 30 + -21
9x = 30 + -21

Combine like terms: 30 + -21 = 9
9x = 9

Divide each side by '9'.
x = 1

Simplifying
x = 1