5a-3(a-2)=22

Solution for 5a-3(a-2)=22 equation:

Simplifying
5a + -3(a + -2) = 22

Reorder the terms:
5a + -3(-2 + a) = 22
5a + (-2 * -3 + a * -3) = 22
5a + (6 + -3a) = 22

Reorder the terms:
6 + 5a + -3a = 22

Combine like terms: 5a + -3a = 2a
6 + 2a = 22

Solving
6 + 2a = 22

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6 + 2a = 22 + -6

Combine like terms: 6 + -6 = 0
0 + 2a = 22 + -6
2a = 22 + -6

Combine like terms: 22 + -6 = 16
2a = 16

Divide each side by '2'.
a = 8

Simplifying
a = 8