4r+12/8=5r-20/5=
4r+12/8=5r-20/5=
4r + 1.5 = 5r - 4
5.5 = r
or, assuming the usual carelessness with parentheses,
(4r+12)/8 = (5r-20)/5
r/2 + 3/2 = r - 4
r = 11
To solve the equation 4r + 12/8 = 5r - 20/5, we need to simplify both sides of the equation and isolate the variable, "r."
Step 1: Simplify the equation
First, let's simplify both sides of the equation by finding the least common denominator (LCD) for the fractions.
The LCD of 8 and 5 is 40, so we need to multiply both sides of the equation by 40 to eliminate the fractions.
40 * (4r + 12/8) = 40 * (5r - 20/5)
Step 2: Distribute the multiplication to both sides
Now, distribute the multiplication to both sides of the equation.
(40 * 4r) + (40 * 12/8) = (40 * 5r) - (40 * 20/5)
Step 3: Simplify each term
Simplify each term on both sides of the equation.
160r + 60 = 200r - 160
Step 4: Combine like terms
Combine like terms on both sides of the equation. This means grouping all terms with "r" together and grouping all constant terms together.
160r - 200r = -160 - 60
-40r = -220
Step 5: Solve for "r"
To isolate the variable "r," divide both sides of the equation by -40.
r = -220 / -40
Simplifying the expression on the right side:
r = 5.5
Therefore, the solution to the equation 4r + 12/8 = 5r - 20/5 is r = 5.5.