How do you simplify # [6 / (X1)] = [4 / (X+1)]#?
1 Answer
Explanation:

Step 1: CrossMultiply
This means we multiply each numerator by the opposite denominator and this helps to clear the fraction.
#6(x+1)=4(x1)# 
Step 2: Distribute
We need to distribute or multiply out both sides of the equation to simplify them.
#6x+6=4x4# 
Step 3: Isolate the Variable
Because we want to solve for#x# , we must isolate it on one side of the equation.
#6x4x=46# 
Step 4: Simplify
We can now complete the addition and subtraction to simplify the equation.
#2x=10# 
Step 5: Divide
Because#x# is multiplied by#2# , we must divide both sides by#2# , so that#x# is alone. This way, we can find the value of#x# , instead of multiples of it.
#x=5# 
Step 6: Check
We can check that our answer is correct by plugging it back in to the original equation.
#6/(51)=4/(5+1)#
#6/6=4/4#
#1=1#
The answer is proven.