Question

What value of x makes the
equation true? Write your
answer in the box below,

-1/4x-12=x+3

Answer 1

Answer:

$x = -12$

Step-by-step explanation:

Step 1:  Add 1/4x to both sides

$-\frac{1}{4}x - 12 = x + 3$

$-12 - \frac{1}{4}x + \frac{1}{4}x = x + 3 + \frac{1}{4}x$

$-12 = \frac{5}{4}x + 3$

Step 2:  Subtract 3 from both sides

$-12 - 3 = \frac{5}{4}x + 3 - 3$

$-15 = \frac{5}{4}x$

Step 3:  Multiply both sides by 4/5

$-15*\frac{4}{5}=\frac{5}{4}x * \frac{4}{5}$

$-12 = x$

Answer:  $x = -12$

Answer 2

Answer: x = -18.75

-1/4x - 12 = x + 3

Add 12x from both sides to get
-1/4x = x + 15

Then minus x from both sides
-5/4x = 15

The divide by -5/4 to get
x = -18.75