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