Question

What is the answer to 4(2r+5)=10r

Answer 1

8r+20=10r

20=2r

10=r

Hope this helped

Answer 2

`\boxed{\sf r=10}`

Explanation:

`\sf 4(2r+5)=10r`

Expand: Use the Distributive Property to multiply 4 by 2r+5:

`\longmapsto\sf 8r+20=10r`

Subtract 20 from both sides:

`\longmapsto\sf 8r+20-20=10r-20`

`\longmapsto\sf 8r=10r-20`

Subtract 10r from both sides:

`\longmapsto\sf 8r-10r=10r-20-10r`

`\longmapsto\sf -2r=-20`

Divide both sides by -2:

`\longmapsto\sf \cfrac{-2r}{-2}=\cfrac{-20}{-2}`

`\longmapsto\sf r=10`

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