Question

Solve for x in simplest form. 3=7/2(3x−4)

Answer 1

x = 34/21

Explanation:

• 3 = 7/2 (3x-4)
• 3 = (21/2)x - 28/2
• 3 = (21/2)x - 14
• (21/2)x = 17
• 21x = 34
• x = 34/21

Answer 2

x = 34/21

Explanation:

3 = 7/2 ( 3 x -4)

We need to perform a multiplication.

The following rule is applied:

In our example, the factors in the new numerator are:

, ,

Notice that all non-fraction factors are placed in the numerator.

The only factor in the new denominator is: 2.

We need to get rid of all the denominators in this equation.

This can be achieved by multiplying both the left and the right side by the Least Common Denominator.

In our example, the LCD is equal to 2.