6a+22=-a+43

Solution for 6a+22=-a+43 equation:

Simplifying
6a + 22 = -1a + 43

Reorder the terms:
22 + 6a = -1a + 43

Reorder the terms:
22 + 6a = 43 + -1a

Solving
22 + 6a = 43 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
22 + 6a + a = 43 + -1a + a

Combine like terms: 6a + a = 7a
22 + 7a = 43 + -1a + a

Combine like terms: -1a + a = 0
22 + 7a = 43 + 0
22 + 7a = 43

Add '-22' to each side of the equation.
22 + -22 + 7a = 43 + -22

Combine like terms: 22 + -22 = 0
0 + 7a = 43 + -22
7a = 43 + -22

Combine like terms: 43 + -22 = 21
7a = 21

Divide each side by '7'.
a = 3

Simplifying
a = 3