6(3x-4)-5(2x+3)=7

Solution for 6(3x-4)-5(2x+3)=7 equation:

Simplifying
6(3x + -4) + -5(2x + 3) = 7

Reorder the terms:
6(-4 + 3x) + -5(2x + 3) = 7
(-4 * 6 + 3x * 6) + -5(2x + 3) = 7
(-24 + 18x) + -5(2x + 3) = 7

Reorder the terms:
-24 + 18x + -5(3 + 2x) = 7
-24 + 18x + (3 * -5 + 2x * -5) = 7
-24 + 18x + (-15 + -10x) = 7

Reorder the terms:
-24 + -15 + 18x + -10x = 7

Combine like terms: -24 + -15 = -39
-39 + 18x + -10x = 7

Combine like terms: 18x + -10x = 8x
-39 + 8x = 7

Solving
-39 + 8x = 7

Solving for variable 'x'.

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

Add '39' to each side of the equation.
-39 + 39 + 8x = 7 + 39

Combine like terms: -39 + 39 = 0
0 + 8x = 7 + 39
8x = 7 + 39

Combine like terms: 7 + 39 = 46
8x = 46

Divide each side by '8'.
x = 5.75

Simplifying
x = 5.75