-5(8x-3)-3(6x+2)=30

Solution for -5(8x-3)-3(6x+2)=30 equation:

Simplifying
-5(8x + -3) + -3(6x + 2) = 30

Reorder the terms:
-5(-3 + 8x) + -3(6x + 2) = 30
(-3 * -5 + 8x * -5) + -3(6x + 2) = 30
(15 + -40x) + -3(6x + 2) = 30

Reorder the terms:
15 + -40x + -3(2 + 6x) = 30
15 + -40x + (2 * -3 + 6x * -3) = 30
15 + -40x + (-6 + -18x) = 30

Reorder the terms:
15 + -6 + -40x + -18x = 30

Combine like terms: 15 + -6 = 9
9 + -40x + -18x = 30

Combine like terms: -40x + -18x = -58x
9 + -58x = 30

Solving
9 + -58x = 30

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -58x = 30 + -9

Combine like terms: 9 + -9 = 0
0 + -58x = 30 + -9
-58x = 30 + -9

Combine like terms: 30 + -9 = 21
-58x = 21

Divide each side by '-58'.
x = -0.3620689655

Simplifying
x = -0.3620689655