if the product of (2+3),(3+4), and (4+5) is equal to three times the sum of 40 and x, then x=what?
3(40+x) = (2+3)(3+4)(4+5)
120 + 3x = 5(7)(9) = 315
3x = 195
x = 65
To find the value of x, let's break down the given equation into smaller steps:
Step 1: Calculate the product of (2+3), (3+4), and (4+5).
The expression can be written as follows: (2+3) * (3+4) * (4+5)
Simplifying each part, we get: 5 * 7 * 9
Step 2: Evaluate the expression: 5 * 7 * 9 = 315
Step 3: Solve the equation that equates the product to three times the sum of 40 and x.
The equation is: 315 = 3 * (40 + x)
Step 4: Simplify and solve for x.
First, simplify the equation by multiplying: 315 = 120 + 3x
Then, subtract 120 from both sides of the equation: 315 - 120 = 3x
Simplifying further: 195 = 3x
Finally, divide both sides by 3: x = 195 / 3
Therefore, x is equal to 65.