5a+3=7b+1

Solution for 5a+3=7b+1 equation:

Simplifying
5a + 3 = 7b + 1

Reorder the terms:
3 + 5a = 7b + 1

Reorder the terms:
3 + 5a = 1 + 7b

Solving
3 + 5a = 1 + 7b

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + -3 + 5a = 1 + -3 + 7b

Combine like terms: 3 + -3 = 0
0 + 5a = 1 + -3 + 7b
5a = 1 + -3 + 7b

Combine like terms: 1 + -3 = -2
5a = -2 + 7b

Divide each side by '5'.
a = -0.4 + 1.4b

Simplifying
a = -0.4 + 1.4b