7b+4a=3b-5

Solution for 7b+4a=3b-5 equation:

Simplifying
7b + 4a = 3b + -5

Reorder the terms:
4a + 7b = 3b + -5

Reorder the terms:
4a + 7b = -5 + 3b

Solving
4a + 7b = -5 + 3b

Solving for variable 'a'.

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

Add '-7b' to each side of the equation.
4a + 7b + -7b = -5 + 3b + -7b

Combine like terms: 7b + -7b = 0
4a + 0 = -5 + 3b + -7b
4a = -5 + 3b + -7b

Combine like terms: 3b + -7b = -4b
4a = -5 + -4b

Divide each side by '4'.
a = -1.25 + -1b

Simplifying
a = -1.25 + -1b