4a-6=3a+13

Solution for 4a-6=3a+13 equation:

Simplifying
4a + -6 = 3a + 13

Reorder the terms:
-6 + 4a = 3a + 13

Reorder the terms:
-6 + 4a = 13 + 3a

Solving
-6 + 4a = 13 + 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.
-6 + 4a + -3a = 13 + 3a + -3a

Combine like terms: 4a + -3a = 1a
-6 + 1a = 13 + 3a + -3a

Combine like terms: 3a + -3a = 0
-6 + 1a = 13 + 0
-6 + 1a = 13

Add '6' to each side of the equation.
-6 + 6 + 1a = 13 + 6

Combine like terms: -6 + 6 = 0
0 + 1a = 13 + 6
1a = 13 + 6

Combine like terms: 13 + 6 = 19
1a = 19

Divide each side by '1'.
a = 19

Simplifying
a = 19