4a+14=a+83

Solution for 4a+14=a+83 equation:

Simplifying
4a + 14 = a + 83

Reorder the terms:
14 + 4a = a + 83

Reorder the terms:
14 + 4a = 83 + a

Solving
14 + 4a = 83 + a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1a' to each side of the equation.
14 + 4a + -1a = 83 + a + -1a

Combine like terms: 4a + -1a = 3a
14 + 3a = 83 + a + -1a

Combine like terms: a + -1a = 0
14 + 3a = 83 + 0
14 + 3a = 83

Add '-14' to each side of the equation.
14 + -14 + 3a = 83 + -14

Combine like terms: 14 + -14 = 0
0 + 3a = 83 + -14
3a = 83 + -14

Combine like terms: 83 + -14 = 69
3a = 69

Divide each side by '3'.
a = 23

Simplifying
a = 23