Question

How to get the answer to 2/3(3x+6)=4x+3 without using distributive property.

Answer 1

The answer for the given equation is x = 3.5.

Step-by-step explanation:

Given, 2 / 3 (3x + 6) = 4x + 3

Step 1:

Rearranging the given equation by subtracting the right side of the equation to the left side.

                           2 / 3 (3x + 6) - 4x + 3 = 0

Step 2:

Taking out the like terms, the equation becomes

                          (2 / 3) $\times$ 3 (x + 2) - (4x - 3) = 0

                          ⇒   2 (x + 2) - (4x - 3) = 0

Step 3:

Solving the equation for the value of x,

                          ⇒    2x + 4 - 4x + 3 = 0

                          ⇒    -2x + 7 = 0

                          ⇒     -2x = -7

                          ⇒     x = 7 / 2 = 3.5.

Hence the value of x = 3.5.