Can someone help me solve number 6?
Answer:
x=-28
Step-by-step explanation:
Step 1: Cross-multiply.
x+4
−6
=
8
2
(x+4)*(2)=(8)*(−6)
2x+8=−48
Step 2: Subtract 8 from both sides.
2x+8−8=−48−8
2x=−56
Step 3: Divide both sides by 2.
2x
2
=
−56
2
x=−28
=====================================
Work Shown:
(x+4)/(-6) = 8/3
3(x+4) = -6*8 ... cross multiply
3x+12 = -48
3x = -48-12 ... subtract 12 from both sides
3x = -60
x = -60/3 ... divide both sides by 3
x = -20
---------------------
Check:
(x+4)/(-6) = 8/3
(-20+4)/(-6) = 8/3 .... replace every x with -20
(-16)/(-6) = 8/3
(-2*8)/(-2*3) = 8/3
8/3 = 8/3 ... the '2's cancel when dividing
We get the same number on both sides, so this confirms the solution.