Respuesta :

763609720
First distribute -0.2(x-5) which equals -0.2x+1.0.
Then add the simplify the equation to 0.25x+1=0.25 by combining like terms.
Now to find X, you need to subtract 1 from both sides which results in 0.25x= -0.75. Finally, solve for x which is -3 because -0.75 divided by 0.25 is -3.

Answer:

[tex]\boxed{\bold{x=-3}}[/tex]

Explanation:

Multiply Both Sides By 100

[tex]\bold{0.45x\cdot \:100-0.2\left(x-5\right)\cdot \:100=0.25\cdot \:100}[/tex]

Refine

[tex]\bold{45x-20\left(x-5\right)=25}[/tex]

Expand [tex]\bold{-20\left(x-5\right): \ -20x+100}[/tex]

= [tex]\bold{45x-20x+100=25}[/tex]

Add Similar Elements: [tex]\bold{\:45x-20x=25x}[/tex]

= [tex]\bold{25x+100=25}[/tex]

Subtract 100 From Both Sides

[tex]\bold{25x+100-100=25-100}[/tex]

Simplify

[tex]\bold{25x=-75}[/tex]

Divide Both Sides By 25

[tex]\bold{\frac{25x}{25}=\frac{-75}{25}}[/tex]

Simplify

[tex]\bold{x=-3}[/tex]

Mordancy.

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