Question

What value or values of x satisfy 2|x+5.3|=4.2

Answer 1

we have

$2\left|x+5.3\right|=4.2$

Step 1

Find the first solution (case positive)

$2(x+5.3)=4.2$

Eliminate the parenthesis left side

$2x+10.6=4.2$

Subtract $10.6$ both sides

$2x=4.2-10.6$

$2x=-6.4$

Divide by $2$ both sides

$x=-3.2$

Step 2

Find the second solution (case negative)

$2[-(x+5.3)]=4.2$

Eliminate the parenthesis left side

$-2x-10.6=4.2$

Adds $10.6$ both sides

$-2x=4.2+10.6$

$-2x=14.8$

Divide by $-2$ both sides

$x=-7.4$

therefore

the answer is the option C

x can equal –3.2 or –7.4

Answer 2

We have, /x+5.3/ = 2.1;
Then, x + 5.3 = 2.1 or  x + 5.3 = -2.1;
x = 2.1 - 5.3; x = -3.2;
x = -2.1-5.3; x = -7.4;
The correct answer is c.