Question

Solve the problem please.

Answer 1

∑ Hey, shadowwolf9764 ⊃

Answer:

x = - 7.5

Explanation:

Given:

`(1)/(5)x+(1)/(4)=(1)/(2)\left(x+5\right)`

Solution~:

`(1)/(5)x+(1)/(4)=(1)/(2)\left(x+5\right)`

Distribute:

`(1)/(5)x+(1)/(4)=(1)/(2)x+(5)/(2)`

Subtract 1/4 from both sides:

`(1)/(5)x+(1)/(4)-(1)/(4)=(1)/(2)x+(5)/(2)-(1)/(4)`

`(1)/(5)x=(9)/(4)+(1)/(2)x`

Subtract 1/2x from both sides:

`(1)/(5)x-(1)/(2)x=(9)/(4)+(1)/(2)x-(1)/(2)x`

`-(3)/(10)x=(9)/(4)`

Multiply both sides by 10:

`10\left(-(3)/(10)x\right)=(9\cdot \:10)/(4)`

`-3x=(45)/(2)`

Divide both sides by -3:

`(-3x)/(-3)=((45)/(2))/(-3)`

x = -15/2

x = -7.5

xcookiex12

9/4/2022

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