I'm soo confused on how to solve this prboblem.
x+5/8x-3 = 11/2
The way you typed it .....
multiply each term by 8
8x + 5x - 24 = 44
13x = 68
x = 68/13
If you meant ...
x+5/(8x-3) = 11/2
....
if you meant , I will guess that was the one.
(x+5)/(8x-3) = 11/2
cross-multiply
88x - 33 = 2x + 10
86x = 43
x = 43/86
x = 1/2
Thanks so much.
To solve the equation, x + (5/8)x - 3 = 11/2, you need to isolate the variable x. Here's how you can do it step by step:
Step 1: Simplify the equation by combining like terms.
Start by simplifying the left side of the equation:
x + (5/8)x - 3 = 11/2
To combine the x terms, you need to find a common denominator between the coefficients of x. In this case, the common denominator is 8:
(8/8)x + (5/8)x - 3 = 11/2
Combine the x terms:
(13/8)x - 3 = 11/2
Step 2: Get rid of fractions by multiplying both sides of the equation by the common denominator.
Multiply the entire equation by 8 to get rid of the fractions:
8 * [(13/8)x - 3] = 8 * (11/2)
Distribute:
(13/8)x * 8 - 3 * 8 = 11 * 4
Simplify:
13x - 24 = 44
Step 3: Isolate the variable x by moving all constants to the other side of the equation.
Add 24 to both sides of the equation to move -24 to the other side:
13x - 24 + 24 = 44 + 24
Simplify:
13x = 68
Step 4: Solve for x by dividing both sides of the equation by the coefficient of x.
Divide both sides of the equation by 13 to solve for x:
(13x)/13 = 68/13
Simplify:
x = 68/13
So, the solution to the equation x + (5/8)x - 3 = 11/2 is x = 68/13.