3/8(2x+16)−2=13

Answer 1

To solve the equation 3/8(2x+16) - 2 = 13, we need to isolate the variable x.

First, let's distribute 3/8 to 2x+16:

(3/8)(2x+16) - 2 = 13
(3/8) * 2x + (3/8) * 16 - 2 = 13
(6/8)x + 48/8 - 2 = 13

Now, simplify the expression:

(6/8)x + 6 - 2 = 13
(6/8)x + 4 = 13

Next, subtract 4 from both sides of the equation:

(6/8)x + 4 - 4 = 13 - 4
(6/8)x = 9

Now, simplify the equation by canceling out the common factors:

(6/8)x = 9
(3/4)x = 9

To eliminate the fraction, we can multiply both sides of the equation by the reciprocal of (3/4), which is (4/3):

(4/3) * (3/4)x = (4/3) * 9
(1)x = 12

Now, x = 12 is the solution to the equation.