4a-3-15(3a-3)=18a+72

Solution for 4a-3-15(3a-3)=18a+72 equation:

Simplifying
4a + -3 + -15(3a + -3) = 18a + 72

Reorder the terms:
4a + -3 + -15(-3 + 3a) = 18a + 72
4a + -3 + (-3 * -15 + 3a * -15) = 18a + 72
4a + -3 + (45 + -45a) = 18a + 72

Reorder the terms:
-3 + 45 + 4a + -45a = 18a + 72

Combine like terms: -3 + 45 = 42
42 + 4a + -45a = 18a + 72

Combine like terms: 4a + -45a = -41a
42 + -41a = 18a + 72

Reorder the terms:
42 + -41a = 72 + 18a

Solving
42 + -41a = 72 + 18a

Solving for variable 'a'.

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

Add '-18a' to each side of the equation.
42 + -41a + -18a = 72 + 18a + -18a

Combine like terms: -41a + -18a = -59a
42 + -59a = 72 + 18a + -18a

Combine like terms: 18a + -18a = 0
42 + -59a = 72 + 0
42 + -59a = 72

Add '-42' to each side of the equation.
42 + -42 + -59a = 72 + -42

Combine like terms: 42 + -42 = 0
0 + -59a = 72 + -42
-59a = 72 + -42

Combine like terms: 72 + -42 = 30
-59a = 30

Divide each side by '-59'.
a = -0.5084745763

Simplifying
a = -0.5084745763