.41x+.32(x-.09)=5.21

Solution for .41x+.32(x-.09)=5.21 equation:

Simplifying
0.41x + 0.32(x + -0.09) = 5.21

Reorder the terms:
0.41x + 0.32(-0.09 + x) = 5.21
0.41x + (-0.09 * 0.32 + x * 0.32) = 5.21
0.41x + (-0.0288 + 0.32x) = 5.21

Reorder the terms:
-0.0288 + 0.41x + 0.32x = 5.21

Combine like terms: 0.41x + 0.32x = 0.73x
-0.0288 + 0.73x = 5.21

Solving
-0.0288 + 0.73x = 5.21

Solving for variable 'x'.

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

Add '0.0288' to each side of the equation.
-0.0288 + 0.0288 + 0.73x = 5.21 + 0.0288

Combine like terms: -0.0288 + 0.0288 = 0.0000
0.0000 + 0.73x = 5.21 + 0.0288
0.73x = 5.21 + 0.0288

Combine like terms: 5.21 + 0.0288 = 5.2388
0.73x = 5.2388

Divide each side by '0.73'.
x = 7.176438356

Simplifying
x = 7.176438356