Question

iSolve the following equation for x:0 . 4 ( 2 + 12 ) = 3 [ 0 . 2 + ( − 2 ) ] − 4

Answer 1

We are given the following equation:

$0.4(2x+\frac{1}{2})=3(0.2x+(-2))-4$

First, we will use the distributive property:

$0.8x+0.2=0.6x+3(-2)-4$

Now, we solve the product 3(-2):

$0.8x+0.2=0.6x-6-4$

Now, we add like terms:

$0.8x+0.2=0.6x-10$

Now, we will subtract 0.6x from both sides:

$\begin{gathered} 0.8x-0.6x+0.2=0.6x-0.6x-10 \\ 0.2x+0.2=-10 \end{gathered}$

Now, we will subtract 0.2 from both sides:

$\begin{gathered} 0.2x+0.2-0.2=-10-0.2 \\ 0.2x=-10.2 \end{gathered}$

Now, we divide both sides by 0.2:

$x=-\frac{10.2}{0.2}$

Solving the operation:

$x=-51$

Therefore, the value of "x" is -51.