10a+4a+3=a+42

Solution for 10a+4a+3=a+42 equation:

Simplifying
10a + 4a + 3 = a + 42

Reorder the terms:
3 + 10a + 4a = a + 42

Combine like terms: 10a + 4a = 14a
3 + 14a = a + 42

Reorder the terms:
3 + 14a = 42 + a

Solving
3 + 14a = 42 + 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.
3 + 14a + -1a = 42 + a + -1a

Combine like terms: 14a + -1a = 13a
3 + 13a = 42 + a + -1a

Combine like terms: a + -1a = 0
3 + 13a = 42 + 0
3 + 13a = 42

Add '-3' to each side of the equation.
3 + -3 + 13a = 42 + -3

Combine like terms: 3 + -3 = 0
0 + 13a = 42 + -3
13a = 42 + -3

Combine like terms: 42 + -3 = 39
13a = 39

Divide each side by '13'.
a = 3

Simplifying
a = 3