How would you solve the following 2 equations for "X"?

x-4(divided by)12=7(divided by3

and

100(divided by)30=4(divided by)3x

(x-4)/12 = 7/3

Multiply both sides by 12.

x-4 = 28

You should be able to take that one from there.

100/30 = 10/3 = 4/3x

Multiply both sides by 3x.

10x = 4

Take it from there.

Do you understand the underlying principle? I hope so.

Yeah, thanks so much! I just got confused because the equations were in fraction form!

To solve the first equation, x-4 divided by 12 equals 7 divided by 3, you can follow these steps:

Step 1: Simplify both sides of the equation as much as possible.

On the left side, x-4 divided by 12 can be simplified into (x-4)/12.

On the right side, 7 divided by 3 is 7/3.

So, the equation becomes: (x-4)/12 = 7/3.

Step 2: Multiply both sides of the equation by 12 to eliminate the denominator on the left side.

Multiplying by 12 gives us: 12 * (x-4)/12 = 12 * 7/3.

The 12s on the left side cancel out, and we are left with: x - 4 = (12 * 7)/3.

Step 3: Simplify the right side of the equation.

12 multiplied by 7 is 84, so the equation becomes: x - 4 = 84/3.

Step 4: Further simplify the right side of the equation.

84 divided by 3 is 28, so the equation becomes: x - 4 = 28.

Step 5: Get x alone on one side by adding 4 to both sides of the equation.

x - 4 + 4 = 28 + 4.

This simplifies to: x = 32.

Therefore, the solution to the first equation is x = 32.

Now, let's move on to the second equation.

To solve the equation 100 divided by 30 equals 4 divided by 3x, you can follow these steps:

Step 1: Rewrite the equation with simpler fractions.

100/30 is equivalent to 10/3.

So, the equation becomes: 10/3 = 4/3x.

Step 2: To eliminate the fraction on the right side, multiply both sides of the equation by 3x.

(10/3) * 3x = (4/3x) * 3x.

On the left side, (10/3) * 3x simplifies to 10x.

On the right side, the 3x terms cancel out, and we are left with 4.

So, the equation becomes: 10x = 4.

Step 3: Solve for x by dividing both sides of the equation by 10.

10x / 10 = 4 / 10.

On the left side, the 10s cancel out, and we are left with: x = 4/10.

Step 4: Simplify the right side of the equation.

4 divided by 10 can be simplified to 2/5.

So, the equation becomes: x = 2/5.

Therefore, the solution to the second equation is x = 2/5.