Answer: 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