3a-42=-3a+4

Solution for 3a-42=-3a+4 equation:

Simplifying
3a + -42 = -3a + 4

Reorder the terms:
-42 + 3a = -3a + 4

Reorder the terms:
-42 + 3a = 4 + -3a

Solving
-42 + 3a = 4 + -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.
-42 + 3a + 3a = 4 + -3a + 3a

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

Combine like terms: -3a + 3a = 0
-42 + 6a = 4 + 0
-42 + 6a = 4

Add '42' to each side of the equation.
-42 + 42 + 6a = 4 + 42

Combine like terms: -42 + 42 = 0
0 + 6a = 4 + 42
6a = 4 + 42

Combine like terms: 4 + 42 = 46
6a = 46

Divide each side by '6'.
a = 7.666666667

Simplifying
a = 7.666666667