Question

Solve the equation for
x 3/4(x+21) = 10.5
x =

Answer 1

✍️ Answer:

`x=-(294)/(13)`

✽✽✽✽

`(x\cdot \:3)/(4\left(x+21\right))=10.5`

`\mathrm{Multiply\:both\:sides\:by\:}4\left(x+21\right)`

`(x\cdot \:3)/(4\left(x+21\right))\cdot \:4\left(x+21\right)=10.5\cdot \:4\left(x+21\right)`

`3x=42\left(x+21\right)`

`3x=42x+882`

`\mathrm{Subtract\:}42x\mathrm{\:from\:both\:sides}`

`3x-42x=42x+882-42x`

`-39x=882`

`\mathrm{Divide\:both\:sides\:by\:}-39`

`(-39x)/(-39)=(882)/(-39)`

`x=-(294)/(13)`

❅❅❅❅❅❅❅❅❅❅

hope it helps...

have a great day!!