1.02(1.25)(8-x)=10

Solution for 1.02(1.25)(8-x)=10 equation:

Simplifying
1.02(1.25)(8 + -1x) = 10

Multiply 1.02 * 1.25
1.275(8 + -1x) = 10
(8 * 1.275 + -1x * 1.275) = 10
(10.2 + -1.275x) = 10

Solving
10.2 + -1.275x = 10

Solving for variable 'x'.

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

Add '-10.2' to each side of the equation.
10.2 + -10.2 + -1.275x = 10 + -10.2

Combine like terms: 10.2 + -10.2 = 0.0
0.0 + -1.275x = 10 + -10.2
-1.275x = 10 + -10.2

Combine like terms: 10 + -10.2 = -0.2
-1.275x = -0.2

Divide each side by '-1.275'.
x = 0.1568627451

Simplifying
x = 0.1568627451