3+8a=51+a(3)-7a

Solution for 3+8a=51+a(3)-7a equation:

Simplifying
3 + 8a = 51 + a(3) + -7a

Reorder the terms for easier multiplication:
3 + 8a = 51 + 3a + -7a

Combine like terms: 3a + -7a = -4a
3 + 8a = 51 + -4a

Solving
3 + 8a = 51 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
3 + 8a + 4a = 51 + -4a + 4a

Combine like terms: 8a + 4a = 12a
3 + 12a = 51 + -4a + 4a

Combine like terms: -4a + 4a = 0
3 + 12a = 51 + 0
3 + 12a = 51

Add '-3' to each side of the equation.
3 + -3 + 12a = 51 + -3

Combine like terms: 3 + -3 = 0
0 + 12a = 51 + -3
12a = 51 + -3

Combine like terms: 51 + -3 = 48
12a = 48

Divide each side by '12'.
a = 4

Simplifying
a = 4