4a+14+19=126+a-48

Solution for 4a+14+19=126+a-48 equation:

Simplifying
4a + 14 + 19 = 126 + a + -48

Reorder the terms:
14 + 19 + 4a = 126 + a + -48

Combine like terms: 14 + 19 = 33
33 + 4a = 126 + a + -48

Reorder the terms:
33 + 4a = 126 + -48 + a

Combine like terms: 126 + -48 = 78
33 + 4a = 78 + a

Solving
33 + 4a = 78 + 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.
33 + 4a + -1a = 78 + a + -1a

Combine like terms: 4a + -1a = 3a
33 + 3a = 78 + a + -1a

Combine like terms: a + -1a = 0
33 + 3a = 78 + 0
33 + 3a = 78

Add '-33' to each side of the equation.
33 + -33 + 3a = 78 + -33

Combine like terms: 33 + -33 = 0
0 + 3a = 78 + -33
3a = 78 + -33

Combine like terms: 78 + -33 = 45
3a = 45

Divide each side by '3'.
a = 15

Simplifying
a = 15