Question

What is the solution to the equation below ?

Answer 1

7/8(x-1/2)= -49/80

Multiply the bracket by 7/8

7/8x-7/16= -49/80

Move -7/16 to other side. Sign changes from -7/16 to +7/16

7/8x-7/16+7/16= -49/80+7/16

7/8x= -49/80+7/16

Find common denominator for 7/16 which is 5. Multiply 5 for the numerator and denominator.

7(5) / 16 (5)

= 35/80

7/8x= -49/80+35/80

7/8x= -14/80

Reduce -14/80 , divide by 2

(-14) /2=7 , 80/2= 40

-14/80= -7/40

7/8x= -7/40

Multiply by 8/7

7/8x*8/7= -7/40 * 8/7

Cross out 7 and 7 , and divide by 7. Cross out -7 and 7 and divide by 7. Cross out 40 and 8 divide by 8.

x= -1/5

Answer: x= -1/5 - G.