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2 years ago

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

Mathematics

2 answers:

maxonik [38]2 years ago

8 0

Answer:

8r+20=10r

20=2r

10=r

Hope this helped

vladimir2022 [97]2 years ago

4 0

Answer:

$\boxed{\sf r=10}$

<h3><u>Step-by-step explanation:</u></h3>

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

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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