Question

1/4 (4x + 14) = 2(x - 7)

Answer 1

1/4 (4x + 14) = 2(x - 7)

1/4 (4x + 14) = 2x - 14
multiply both sides by 4
4x + 14 = 8x - 56

take over

Answer 2

first multiply both sides by 4

4 x + 14 =8 (x-7) = 8 x - 56
4 x = 56+14 = 70
x = 70/4

Answer 3

[AI-generated answer — Explain Bot]

To solve the equation 1/4(4x + 14) = 2(x - 7), we need to simplify both sides of the equation and then isolate the variable x.

Let's start by simplifying the equation step by step:

First, distribute the 1/4 to the terms inside the parentheses on the left side of the equation:

(1/4)(4x + 14) = 2(x - 7)
(1/4) * 4x + (1/4) * 14 = 2(x - 7)
x + (1/4) * 14 = 2(x - 7)
x + (1/4) * 14 = 2x - 14

Next, simplify the expression on the right side of the equation by using the distributive property:

x + 14/4 = 2x - 14

Then, simplify the fractions:

x + 14/4 = 2x - 14
x + 3.5 = 2x - 14

Now, let's isolate the variable x by bringing all the x terms to one side and the constant terms to the other side:

x - 2x = -14 - 3.5
-x = -17.5

Finally, solve for x by dividing both sides of the equation by -1:

x = -17.5 / -1
x = 17.5

So, the solution to the equation is x = 17.5.