Solve for X

Question

5/8 (x+1/2)=109
A. 160 1/2
B. 62
C. 159 1/2
D. 63
Pick closest answer pls

Answer 1

To solve for x, first distribute 5/8 to both terms inside the parentheses:

5/8 * x + 5/8 * 1/2 = 109

Next, simplify the equation:

5/8x + 5/16 = 109

To get rid of the fraction, multiply both sides of the equation by 16:

16(5/8x + 5/16) = 109 * 16
10x + 5 = 1744
10x = 1739
x = 1739/10

The closest answer to x = 1739/10 is option C. 159 1/2.