Question

0.45x​ - 0.2(x​ - 5)​ = 0.25

Answer 1

`\boxed{\bold{x=-3}}`

Step-by-step explanation:

Multiply Both Sides By 100

`\bold{0.45x\cdot \:100-0.2\left(x-5\right)\cdot \:100=0.25\cdot \:100}`

Refine

`\bold{45x-20\left(x-5\right)=25}`

Expand
`\bold{-20\left(x-5\right): \ -20x+100}`

=
`\bold{45x-20x+100=25}`

Add Similar Elements:
`\bold{\:45x-20x=25x}`

=
`\bold{25x+100=25}`

Subtract 100 From Both Sides

`\bold{25x+100-100=25-100}`

Simplify

`\bold{25x=-75}`

Divide Both Sides By 25

`\bold{(25x)/(25)=(-75)/(25)}`

Simplify

`\bold{x=-3}`

Mordancy.

Answer 2

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.