2x-3(5x-2)=-72

Solution for 2x-3(5x-2)=-72 equation:

Simplifying
2x + -3(5x + -2) = -72

Reorder the terms:
2x + -3(-2 + 5x) = -72
2x + (-2 * -3 + 5x * -3) = -72
2x + (6 + -15x) = -72

Reorder the terms:
6 + 2x + -15x = -72

Combine like terms: 2x + -15x = -13x
6 + -13x = -72

Solving
6 + -13x = -72

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -13x = -72 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = -72 + -6
-13x = -72 + -6

Combine like terms: -72 + -6 = -78
-13x = -78

Divide each side by '-13'.
x = 6

Simplifying
x = 6