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

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

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

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

Reorder the terms:
-13.44 + 7.35a = 3.9(4.6 + 1.5a)
-13.44 + 7.35a = (4.6 * 3.9 + 1.5a * 3.9)
-13.44 + 7.35a = (17.94 + 5.85a)

Solving
-13.44 + 7.35a = 17.94 + 5.85a

Solving for variable 'a'.

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

Add '-5.85a' to each side of the equation.
-13.44 + 7.35a + -5.85a = 17.94 + 5.85a + -5.85a

Combine like terms: 7.35a + -5.85a = 1.5a
-13.44 + 1.5a = 17.94 + 5.85a + -5.85a

Combine like terms: 5.85a + -5.85a = 0.00
-13.44 + 1.5a = 17.94 + 0.00
-13.44 + 1.5a = 17.94

Add '13.44' to each side of the equation.
-13.44 + 13.44 + 1.5a = 17.94 + 13.44

Combine like terms: -13.44 + 13.44 = 0.00
0.00 + 1.5a = 17.94 + 13.44
1.5a = 17.94 + 13.44

Combine like terms: 17.94 + 13.44 = 31.38
1.5a = 31.38

Divide each side by '1.5'.
a = 20.92

Simplifying
a = 20.92