4.2(1.75a-3.2)=3.9(1.5+4.6)

Solution for 4.2(1.75a-3.2)=3.9(1.5+4.6) equation:

Simplifying
4.2(1.75a + -3.2) = 3.9(1.5 + 4.6)

Reorder the terms:
4.2(-3.2 + 1.75a) = 3.9(1.5 + 4.6)
(-3.2 * 4.2 + 1.75a * 4.2) = 3.9(1.5 + 4.6)
(-13.44 + 7.35a) = 3.9(1.5 + 4.6)

Combine like terms: 1.5 + 4.6 = 6.1
-13.44 + 7.35a = 3.9(6.1)

Multiply 3.9 * 6.1
-13.44 + 7.35a = 23.79

Solving
-13.44 + 7.35a = 23.79

Solving for variable 'a'.

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

Add '13.44' to each side of the equation.
-13.44 + 13.44 + 7.35a = 23.79 + 13.44

Combine like terms: -13.44 + 13.44 = 0.00
0.00 + 7.35a = 23.79 + 13.44
7.35a = 23.79 + 13.44

Combine like terms: 23.79 + 13.44 = 37.23
7.35a = 37.23

Divide each side by '7.35'.
a = 5.065306122

Simplifying
a = 5.065306122