3(4x+3)-3(8x+1)=9(2x-3)

Solution for 3(4x+3)-3(8x+1)=9(2x-3) equation:

Simplifying
3(4x + 3) + -3(8x + 1) = 9(2x + -3)

Reorder the terms:
3(3 + 4x) + -3(8x + 1) = 9(2x + -3)
(3 * 3 + 4x * 3) + -3(8x + 1) = 9(2x + -3)
(9 + 12x) + -3(8x + 1) = 9(2x + -3)

Reorder the terms:
9 + 12x + -3(1 + 8x) = 9(2x + -3)
9 + 12x + (1 * -3 + 8x * -3) = 9(2x + -3)
9 + 12x + (-3 + -24x) = 9(2x + -3)

Reorder the terms:
9 + -3 + 12x + -24x = 9(2x + -3)

Combine like terms: 9 + -3 = 6
6 + 12x + -24x = 9(2x + -3)

Combine like terms: 12x + -24x = -12x
6 + -12x = 9(2x + -3)

Reorder the terms:
6 + -12x = 9(-3 + 2x)
6 + -12x = (-3 * 9 + 2x * 9)
6 + -12x = (-27 + 18x)

Solving
6 + -12x = -27 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
6 + -12x + -18x = -27 + 18x + -18x

Combine like terms: -12x + -18x = -30x
6 + -30x = -27 + 18x + -18x

Combine like terms: 18x + -18x = 0
6 + -30x = -27 + 0
6 + -30x = -27

Add '-6' to each side of the equation.
6 + -6 + -30x = -27 + -6

Combine like terms: 6 + -6 = 0
0 + -30x = -27 + -6
-30x = -27 + -6

Combine like terms: -27 + -6 = -33
-30x = -33

Divide each side by '-30'.
x = 1.1

Simplifying
x = 1.1