7a+6=3a-22

Solution for 7a+6=3a-22 equation:

Simplifying
7a + 6 = 3a + -22

Reorder the terms:
6 + 7a = 3a + -22

Reorder the terms:
6 + 7a = -22 + 3a

Solving
6 + 7a = -22 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
6 + 7a + -3a = -22 + 3a + -3a

Combine like terms: 7a + -3a = 4a
6 + 4a = -22 + 3a + -3a

Combine like terms: 3a + -3a = 0
6 + 4a = -22 + 0
6 + 4a = -22

Add '-6' to each side of the equation.
6 + -6 + 4a = -22 + -6

Combine like terms: 6 + -6 = 0
0 + 4a = -22 + -6
4a = -22 + -6

Combine like terms: -22 + -6 = -28
4a = -28

Divide each side by '4'.
a = -7

Simplifying
a = -7