4a-6+3a=4a+15

Solution for 4a-6+3a=4a+15 equation:

Simplifying
4a + -6 + 3a = 4a + 15

Reorder the terms:
-6 + 4a + 3a = 4a + 15

Combine like terms: 4a + 3a = 7a
-6 + 7a = 4a + 15

Reorder the terms:
-6 + 7a = 15 + 4a

Solving
-6 + 7a = 15 + 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 + 7a + -4a = 15 + 4a + -4a

Combine like terms: 7a + -4a = 3a
-6 + 3a = 15 + 4a + -4a

Combine like terms: 4a + -4a = 0
-6 + 3a = 15 + 0
-6 + 3a = 15

Add '6' to each side of the equation.
-6 + 6 + 3a = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 3a = 15 + 6
3a = 15 + 6

Combine like terms: 15 + 6 = 21
3a = 21

Divide each side by '3'.
a = 7

Simplifying
a = 7