Question

Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation -1/2 x +3 = 4 -1/4 x?

Answer 1

Answer: x = -4

Step-by-step explanation:

$-\frac{1}{2}x + 3 = 4 - \frac{1}{4}x$

$-\frac{1}{2}x(4) + 3(4) = 4(4) - \frac{1}{4}x(4)$

-2x + 12 = 16 - x

+2x             +2x

        12 = 16 + x

      -16    -16      

        -4 =         x

Answer 2

Answer:

$x=-4$

Step-by-step explanation:

Given : $-\frac{1}{2}x + 3 = 4 -\frac{1}{4} x$

Solution:

$\frac{1}{2}x + 3 = 4 -\frac{1}{4} x$

Now take the constant terms on one side and variable terms on other side .

$-\frac{1}{2}x + \frac{1}{4} x=4-3$

$\frac{-1}{4} x=1$

$x=-4$

Thus the equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation$-\frac{1}{2}x + 3 = 4 -\frac{1}{4} x$   is    $x=-4$