5a-3a+8+4a-2=42

Solution for 5a-3a+8+4a-2=42 equation:

Simplifying
5a + -3a + 8 + 4a + -2 = 42

Reorder the terms:
8 + -2 + 5a + -3a + 4a = 42

Combine like terms: 8 + -2 = 6
6 + 5a + -3a + 4a = 42

Combine like terms: 5a + -3a = 2a
6 + 2a + 4a = 42

Combine like terms: 2a + 4a = 6a
6 + 6a = 42

Solving
6 + 6a = 42

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 + 6a = 42 + -6

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

Combine like terms: 42 + -6 = 36
6a = 36

Divide each side by '6'.
a = 6

Simplifying
a = 6