((50(x))+x)+(45(2))+((-20)(10))=5000

Solution for ((50(x))+x)+(45(2))+((-20)(10))=5000 equation:

Simplifying
((50(x)) + x) + (45(2)) + ((-20)(10)) = 5000

Combine like terms: (50x) + x = 51x
(51x) + (45(2)) + ((-20)(10)) = 5000
(51x) + (45(2)) + ((-20)(10)) = 5000

Multiply 45 * 2
(51x) + (90) + ((-20)(10)) = 5000
(51x) + 90 + ((-20)(10)) = 5000

Multiply -20 * 10
(51x) + 90 + (-200) = 5000
(51x) + 90 + -200 = 5000

Reorder the terms:
90 + -200 + (51x) = 5000

Combine like terms: 90 + -200 = -110
-110 + (51x) = 5000

Solving
-110 + (51x) = 5000

Solving for variable 'x'.

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

Add '110' to each side of the equation.
-110 + 110 + (51x) = 5000 + 110

Combine like terms: -110 + 110 = 0
0 + (51x) = 5000 + 110
(51x) = 5000 + 110

Combine like terms: 5000 + 110 = 5110
(51x) = 5110

Divide each side by '51'.
x = 100.1960784

Simplifying
x = 100.1960784