3a-6=4a-24

Solution for 3a-6=4a-24 equation:

Simplifying
3a + -6 = 4a + -24

Reorder the terms:
-6 + 3a = 4a + -24

Reorder the terms:
-6 + 3a = -24 + 4a

Solving
-6 + 3a = -24 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-6 + 3a + -4a = -24 + 4a + -4a

Combine like terms: 3a + -4a = -1a
-6 + -1a = -24 + 4a + -4a

Combine like terms: 4a + -4a = 0
-6 + -1a = -24 + 0
-6 + -1a = -24

Add '6' to each side of the equation.
-6 + 6 + -1a = -24 + 6

Combine like terms: -6 + 6 = 0
0 + -1a = -24 + 6
-1a = -24 + 6

Combine like terms: -24 + 6 = -18
-1a = -18

Divide each side by '-1'.
a = 18

Simplifying
a = 18