5a+2(7a-3)=51

Solution for 5a+2(7a-3)=51 equation:

Simplifying
5a + 2(7a + -3) = 51

Reorder the terms:
5a + 2(-3 + 7a) = 51
5a + (-3 * 2 + 7a * 2) = 51
5a + (-6 + 14a) = 51

Reorder the terms:
-6 + 5a + 14a = 51

Combine like terms: 5a + 14a = 19a
-6 + 19a = 51

Solving
-6 + 19a = 51

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + 19a = 51 + 6

Combine like terms: -6 + 6 = 0
0 + 19a = 51 + 6
19a = 51 + 6

Combine like terms: 51 + 6 = 57
19a = 57

Divide each side by '19'.
a = 3

Simplifying
a = 3