a+6+3a=7a-6

Solution for a+6+3a=7a-6 equation:

Simplifying
a + 6 + 3a = 7a + -6

Reorder the terms:
6 + a + 3a = 7a + -6

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

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

Solving
6 + 4a = -6 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
6 + 4a + -7a = -6 + 7a + -7a

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

Combine like terms: 7a + -7a = 0
6 + -3a = -6 + 0
6 + -3a = -6

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

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

Combine like terms: -6 + -6 = -12
-3a = -12

Divide each side by '-3'.
a = 4

Simplifying
a = 4