Question

Find the value of x that makes the equation below true.
1/3 (x - 12) =2x + 1

Answer 1

x = -3

Explanation:

let's solve this equation and find the value of x that makes it true. Here's what we gotta do:

1/3(x - 12) = 2x + 1

First, let's simplify both sides of the equation:

(x - 12)/3 = 2x + 1

Now, let's get rid of the fraction by multiplying both sides of the equation by 3:

3 * (x - 12)/3 = 3 * (2x + 1)

This simplifies to:

x - 12 = 6x + 3

Next, let's gather all the x terms on one side and the constant terms on the other side:

x - 6x = 3 + 12

Simplifying further, we get:

-5x = 15

Finally, let's isolate x by dividing both sides of the equation by -5:

x = 15 / -5

And that gives us the value of x:

x = -3

So, the value of x that makes the equation true is -3. Hope that clears things up for you!

Answer 2

Sure, let's solve the equation step by step.

Given equation: 1/3 (x - 12) = 2x + 1

Step 1: Distribute the 1/3 on the left side to the (x - 12)

This gives us: 1/3(x) - 1/3(12) = 2x + 1 or 1/3x - 4 = 2x + 1

Step 2: To simplify further, we want to bring similar terms to the same side of the equation. So, let's bring the x terms to the left and constants to the right side of the equation.

It will look like this: 1/3*x - 2x = 1 + 4

Step 3: Simplify following the proper mathematical order of operations (parenthesis, exponents, x & ÷ (left to right) and + & - (left to right).

This is: -5/3*x = 5

Step 4: Isolate x by dividing both sides by -5/3 or multiplying by -3/5 (both are equivalent).

Hence, x = 5 / (-5/3) = -3.

The solution to the given equation 1/3 (x - 12) = 2x + 1 is x = -3.