3(12+8x)-(6+9x)=45

Solution for 3(12+8x)-(6+9x)=45 equation:

Simplifying
3(12 + 8x) + -1(6 + 9x) = 45
(12 * 3 + 8x * 3) + -1(6 + 9x) = 45
(36 + 24x) + -1(6 + 9x) = 45
36 + 24x + (6 * -1 + 9x * -1) = 45
36 + 24x + (-6 + -9x) = 45

Reorder the terms:
36 + -6 + 24x + -9x = 45

Combine like terms: 36 + -6 = 30
30 + 24x + -9x = 45

Combine like terms: 24x + -9x = 15x
30 + 15x = 45

Solving
30 + 15x = 45

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 + 15x = 45 + -30

Combine like terms: 30 + -30 = 0
0 + 15x = 45 + -30
15x = 45 + -30

Combine like terms: 45 + -30 = 15
15x = 15

Divide each side by '15'.
x = 1

Simplifying
x = 1