Question

Can someone help me solve number 6?

Answer 1

x=-28

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

Answer 2

Answer: x = -20

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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.