4a+6=5a+12

Solution for 4a+6=5a+12 equation:

Simplifying
4a + 6 = 5a + 12

Reorder the terms:
6 + 4a = 5a + 12

Reorder the terms:
6 + 4a = 12 + 5a

Solving
6 + 4a = 12 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
6 + 4a + -5a = 12 + 5a + -5a

Combine like terms: 4a + -5a = -1a
6 + -1a = 12 + 5a + -5a

Combine like terms: 5a + -5a = 0
6 + -1a = 12 + 0
6 + -1a = 12

Add '-6' to each side of the equation.
6 + -6 + -1a = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = 12 + -6
-1a = 12 + -6

Combine like terms: 12 + -6 = 6
-1a = 6

Divide each side by '-1'.
a = -6

Simplifying
a = -6