5/4x+1/8x=11/8+x
solve and simplify the answer
x=
add 5/4x and 1/8x then u get
11/8=11/8+x
subtract 11/8 to the other side which leaves
0=x
Brad, you forgot the left hand sided x
11x/8=11/8 + x
subtract x from both sides
3x/8=11/8
multiply by 8
3x=11
x=11/3
To solve the equation 5/4x + 1/8x = 11/8 + x, we can start by combining like terms on both sides of the equation.
First, let's simplify the left side of the equation by finding a common denominator for the fractions. The lowest common denominator (LCD) for 4 and 8 is 8.
So, multiplying the first term 5/4x by 2/2 (since 2/2 equals 1), we get (5/4) * (2/2) * x = 10/8x.
Similarly, multiplying the second term 1/8x by 1 (since 1 is already 8/8), we get (1/8) * (8/8) * x = 8/64x. Simplifying this, we get 1/8x.
Now, let's simplify the right side of the equation. Add the fraction 11/8 to x. To add fractions with different denominators, we need to find a common denominator. The LCD for 8 and 1 is 8.
So, multiplying the first term 11/8 by 1 (since 1 is already 8/8), we get 11/8.
Now, we can rewrite the equation as:
10/8x + 1/8x = 11/8 + x
Combining like terms on the left side, we get:
(10/8 + 1/8) x = 11/8 + x
Simplifying the left side, we have:
(11/8) x = 11/8 + x
Now, we can eliminate the denominators by multiplying both sides of the equation by 8:
8 * (11/8) x = 8 * (11/8 + x)
11x = 11 + 8x
Next, let's isolate the x terms on one side by subtracting 8x from both sides:
11x - 8x = 11 + 8x - 8x
3x = 11
Finally, to solve for x, divide both sides of the equation by 3:
(3x)/3 = 11/3
x = 11/3
Therefore, the solution to the equation is x = 11/3.