0.4(2-0.5) = 0.2(1 + 3)
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x = 4 and value is 1.4

Step-by-step explanation:

We have 0.4*(x - 0.5) = 0.2*(x + 3)

Let's first simplify this by using the distribution property.

0.4 * x = 0.4x

-0.5*0.4 = -0.2

0.2*x = 0.2x

3*0.2 = 0.6

So, now that that's over, we have: 0.4x - 0.2 = 0.2x + 0.6

Let's get rid of that 0.2 on the left to isolate x.

We do that by adding 0.2 to both sides since 0.2 is a negative number.

0.4x = 0.2x + 0.8

Now we subtract 0.2x from both sides which leaves us with: 0.2x = 0.8

Now we divide 0.8 by 0.2 to get x by itself.

x = (0.8/0.2)

x = 4

To get the value of the equation and to check our work we substitute x for 4.

0.4(x - 0.5) = 1.4

0.2(x + 3) = 1.4

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation: