To solve the first equation:
25 + (x - 2) * 15 = 7Simplify25 + 15x - 30 = 7Combine like terms15x - 5 = 7Add 5 to both sides15x = 7Divide by 15 on both sidesx = 5
Now, let's solve the second equation:
72 : (12 - x : 4) = First, simplify the expression inside the parentheses72 : (12 - x/4) = Now combine the terms inside the parentheses72 : (12 - 5/4) = Calculate 12 - 5/412 - 5/4 = 48/4 - 5/4 = 43/4
Now substitute back in the expression72 : 43/4 = To divide by a fraction, we can multiply by the reciprocal72 4/43 = 288 / 43 = 43 9 = 28288 = 288
Therefore, the solution to the second equation is verified.
To solve the first equation:
25 + (x - 2) * 15 = 7
Simplify
25 + 15x - 30 = 7
Combine like terms
15x - 5 = 7
Add 5 to both sides
15x = 7
Divide by 15 on both sides
x = 5
Now, let's solve the second equation:
72 : (12 - x : 4) =
First, simplify the expression inside the parentheses
72 : (12 - x/4) =
Now combine the terms inside the parentheses
72 : (12 - 5/4) =
Calculate 12 - 5/4
12 - 5/4 = 48/4 - 5/4 = 43/4
Now substitute back in the expression
72 : 43/4 =
To divide by a fraction, we can multiply by the reciprocal
72 4/43 =
288 / 43 =
43 9 = 28
288 = 288
Therefore, the solution to the second equation is verified.