(1-x)(-37)+(x)(28)=0

Solution for (1-x)(-37)+(x)(28)=0 equation:

Simplifying
(1 + -1x)(-37) + (x)(28) = 0

Reorder the terms for easier multiplication:
-37(1 + -1x) + (x)(28) = 0
(1 * -37 + -1x * -37) + (x)(28) = 0
(-37 + 37x) + (x)(28) = 0

Reorder the terms for easier multiplication:
-37 + 37x + 28x = 0

Combine like terms: 37x + 28x = 65x
-37 + 65x = 0

Solving
-37 + 65x = 0

Solving for variable 'x'.

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

Add '37' to each side of the equation.
-37 + 37 + 65x = 0 + 37

Combine like terms: -37 + 37 = 0
0 + 65x = 0 + 37
65x = 0 + 37

Combine like terms: 0 + 37 = 37
65x = 37

Divide each side by '65'.
x = 0.5692307692

Simplifying
x = 0.5692307692