2(p+5)-7=4p

Question

X divided by 2 to x divided 6 =5

Answer 1

To solve the first equation, we will distribute the 2 to both terms inside the parentheses:

2p + 10 - 7 = 4p

Next, we will combine like terms:

2p + 3 = 4p

To isolate the variable, we will subtract 2p from both sides:

3 = 2p

Finally, we divide both sides by 2 to solve for p:

3/2 = p

To solve the second equation, we will set up the equation using the given information:

x/2 = x/6 + 5

Next, we will find a common denominator, which is 6:

3x/6 = x/6 + 5

Since the denominators are now the same, we can combine the numerators:

3x = x + 30

To isolate the variable, we will subtract x from both sides:

2x = 30

Finally, we divide both sides by 2 to solve for x:

x = 15