Step-by-step explanation: To solve the equation 50x + 15 = 40(1-x), we can start by simplifying both sides of the equation.
On the left side of the equation, we have 50x + 15.
On the right side of the equation, we have 40(1-x). To simplify this, we need to distribute the 40 to both terms inside the parentheses. This gives us 40 - 40x.
Now, our equation becomes 50x + 15 = 40 - 40x.
To solve for x, we need to combine like terms. Let's move the variable terms (the ones with x) to one side and the constant terms (the ones without x) to the other side.
Adding 40x to both sides of the equation gives us 50x + 40x + 15 = 40 - 40x + 40x.
Simplifying this, we get 90x + 15 = 40.
Next, let's subtract 15 from both sides of the equation to isolate the variable term.
This gives us 90x = 40 - 15.
Simplifying further, we have 90x = 25.
Finally, to solve for x, we divide both sides of the equation by 90.
This gives us x = 25/90.
Simplifying the fraction, we get x = 5/18.
So, the solution to the equation 50x + 15 = 40(1-x) is x = 5/18.
Hope this helps :)