5a=2a-42-3a

Solution for 5a=2a-42-3a equation:

Simplifying
5a = 2a + -42 + -3a

Reorder the terms:
5a = -42 + 2a + -3a

Combine like terms: 2a + -3a = -1a
5a = -42 + -1a

Solving
5a = -42 + -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.
5a + a = -42 + -1a + a

Combine like terms: 5a + a = 6a
6a = -42 + -1a + a

Combine like terms: -1a + a = 0
6a = -42 + 0
6a = -42

Divide each side by '6'.
a = -7

Simplifying
a = -7