12(2x+1)-15(x+3)=30

Solution for 12(2x+1)-15(x+3)=30 equation:

Simplifying
12(2x + 1) + -15(x + 3) = 30

Reorder the terms:
12(1 + 2x) + -15(x + 3) = 30
(1 * 12 + 2x * 12) + -15(x + 3) = 30
(12 + 24x) + -15(x + 3) = 30

Reorder the terms:
12 + 24x + -15(3 + x) = 30
12 + 24x + (3 * -15 + x * -15) = 30
12 + 24x + (-45 + -15x) = 30

Reorder the terms:
12 + -45 + 24x + -15x = 30

Combine like terms: 12 + -45 = -33
-33 + 24x + -15x = 30

Combine like terms: 24x + -15x = 9x
-33 + 9x = 30

Solving
-33 + 9x = 30

Solving for variable 'x'.

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

Add '33' to each side of the equation.
-33 + 33 + 9x = 30 + 33

Combine like terms: -33 + 33 = 0
0 + 9x = 30 + 33
9x = 30 + 33

Combine like terms: 30 + 33 = 63
9x = 63

Divide each side by '9'.
x = 7

Simplifying
x = 7