PAGE 11

3) Solve for x: 1/2 (4x+6) = -5x+24.7

A x=3.1

B x=3

C x=7

D x=-7.23

A x=3.1

Step-by-step explanation:

1/2 (4x+6) = -5x+24.7

Multiply each side by 2 to get rid of the fraction

2*1/2 (4x+6) = 2 (-5x+24.7)

4x+6 = - 10x + 49.4

Add 10x to each side

4x+6+10x=-10x+10x+49.4

14x + 6 = 49.4

Subtract 6 from each side

14x+6-6 = 49.4-6

14x = 43.4

Divide each side by 14

14x/14 = 43.4/14

x = 3.1