(3.2+5x)3+2=(5.2-7.5)5.2+3.1

Solution for (3.2+5x)3+2=(5.2-7.5)5.2+3.1 equation:

Simplifying
(3.2 + 5x) * 3 + 2 = (5.2 + -7.5) * 5.2 + 3.1

Reorder the terms for easier multiplication:
3(3.2 + 5x) + 2 = (5.2 + -7.5) * 5.2 + 3.1
(3.2 * 3 + 5x * 3) + 2 = (5.2 + -7.5) * 5.2 + 3.1
(9.6 + 15x) + 2 = (5.2 + -7.5) * 5.2 + 3.1

Reorder the terms:
9.6 + 2 + 15x = (5.2 + -7.5) * 5.2 + 3.1

Combine like terms: 9.6 + 2 = 11.6
11.6 + 15x = (5.2 + -7.5) * 5.2 + 3.1

Combine like terms: 5.2 + -7.5 = -2.3
11.6 + 15x = (-2.3) * 5.2 + 3.1

Multiply -2.3 * 5.2
11.6 + 15x = -11.96 + 3.1

Combine like terms: -11.96 + 3.1 = -8.86
11.6 + 15x = -8.86

Solving
11.6 + 15x = -8.86

Solving for variable 'x'.

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

Add '-11.6' to each side of the equation.
11.6 + -11.6 + 15x = -8.86 + -11.6

Combine like terms: 11.6 + -11.6 = 0.0
0.0 + 15x = -8.86 + -11.6
15x = -8.86 + -11.6

Combine like terms: -8.86 + -11.6 = -20.46
15x = -20.46

Divide each side by '15'.
x = -1.364

Simplifying
x = -1.364