What is the solution to the equation
1/2× +3/2(×+1)-1/4=5?

15/8

Step-by-step explanation:

Please use the letter " x " here instead of the multiplication operator " × ."

Your 1/2× +3/2(×+1)-1/4=5 is best written as

(1/2)x +(3/2)(x + 1) - (1/4) = 5

Perform the indicated multiplication.  We get:

(1/2)x +(3/2)x  + 3/2) - (1/4) = 5

The first two terms combine to yield 2x, so that the equation is now

2x + 3/2 - 1/4 = 5

The LCD is 4.  Multiplying all terms by 4, we get:

8x + 6 - 1 = 20, or 8x + 5 = 20.

Simplifying this further, we get 8x = 15, so that

x = 15/8

the answer is c. 23/3

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.