For the following problems: find and explain the errors, then show the correct way to solve the problem. Show all your work. 5(2x+4)=10(6x-8)
10x+20=60x-80
20=70x-80
100=70x
10/7=x

Let's solve your equation step-by-step.

5(2x+4)=10(6x−8)

Step 1: Simplify both sides of the equation.

5(2x+4)=10(6x−8)

(5)(2x)+(5)(4)=(10)(6x)+(10)(−8)(Distribute)

10x+20=60x+−80

10x+20=60x−80

Step 2: Subtract 60x from both sides.

10x+20−60x=60x−80−60x

−50x+20=−80

Step 3: Subtract 20 from both sides.

−50x+20−20=−80−20

−50x=−100

Step 4: Divide both sides by -50.

−50x

−50

=

−100

−50

x=2

x=2