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
Answer:
x=2
