Question

3/5(x - 7/10) = -3 1/4 enter answer as mixed number in simplest form

Answer 1

x=-4 43/60

Explanation:

3/5(x - 7/10) = -3 1/4

3/5(x - 7/10) = -(3 1/4)

3/5(x - 7/10) = -(3 + 1/4)

3/5(x - 7/10) = -(12/4 + 1/4)

3/5(x - 7/10) = -13/4

3x/5 - (3/5)*(7/10) = -13/4

3x/5 - (3*7)/(5*10) = -13/4

3x/5 - 21/50 = -13/4

30x/50 - 21/50 = -13/4

(30x-21)/50 = -13/4

50*(30x-21)/50 = 50*(-13/4)

30x-21=-650/4

30x-21+21=21-650/4

30x=21*4/4 - 650/4

30x=84/4 - 650/4

4*(30x=84/4 - 650/4)

120x=84-650

120x=-566

x=-566/120

x=(-566/2)/(120/2)

x=-283/60

x=-(43+240)/60

x=-43/60 - 240/60

x=-4 - 43/60

x=-(4 + 43)/60

x=-4 43/60