(11)(41-x)(1.02)=(28)(x-20)(2.06)

Solution for (11)(41-x)(1.02)=(28)(x-20)(2.06) equation:

Simplifying
(11)(41 + -1x)(1.02) = (28)(x + -20)(2.06)

Reorder the terms for easier multiplication:
11 * 1.02(41 + -1x) = (28)(x + -20)(2.06)

Multiply 11 * 1.02
11.22(41 + -1x) = (28)(x + -20)(2.06)
(41 * 11.22 + -1x * 11.22) = (28)(x + -20)(2.06)
(460.02 + -11.22x) = (28)(x + -20)(2.06)

Reorder the terms:
460.02 + -11.22x = 28(-20 + x)(2.06)

Reorder the terms for easier multiplication:
460.02 + -11.22x = 28 * 2.06(-20 + x)

Multiply 28 * 2.06
460.02 + -11.22x = 57.68(-20 + x)
460.02 + -11.22x = (-20 * 57.68 + x * 57.68)
460.02 + -11.22x = (-1153.6 + 57.68x)

Solving
460.02 + -11.22x = -1153.6 + 57.68x

Solving for variable 'x'.

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

Add '-57.68x' to each side of the equation.
460.02 + -11.22x + -57.68x = -1153.6 + 57.68x + -57.68x

Combine like terms: -11.22x + -57.68x = -68.9x
460.02 + -68.9x = -1153.6 + 57.68x + -57.68x

Combine like terms: 57.68x + -57.68x = 0.00
460.02 + -68.9x = -1153.6 + 0.00
460.02 + -68.9x = -1153.6

Add '-460.02' to each side of the equation.
460.02 + -460.02 + -68.9x = -1153.6 + -460.02

Combine like terms: 460.02 + -460.02 = 0.00
0.00 + -68.9x = -1153.6 + -460.02
-68.9x = -1153.6 + -460.02

Combine like terms: -1153.6 + -460.02 = -1613.62
-68.9x = -1613.62

Divide each side by '-68.9'.
x = 23.41973875

Simplifying
x = 23.41973875