Solve 6x − 12 = −48

The solution of 6x − 12 = −48 is x = -6.

6x - 12 = -48\ \Rightarrow\ x = -6

Explain it step by step in chat Make a short video of it

The lines y = 6x − 12 and y = -48 meet at x = -6. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the subtraction, then the multiplication.
$6x - 12 = -48$
2
Add 12 to both sides:
$6x - 12 + 12 = -48 + 12 \ \Rightarrow\ 6x = -36$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-36}{6} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$6\cdot(-6) - 12 = -36 - 12 = -48 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 12 = -48\ \Rightarrow\ x = -6 \]
\[ 6x - 12 = -48 \]
\[ 6x - 12 + 12 = -48 + 12 \ \Rightarrow\ 6x = -36 \]
\[ \frac{6x}{6} = \frac{-36}{6} \ \Rightarrow\ x = -6 \]
\[ 6\cdot(-6) - 12 = -36 - 12 = -48 \checkmark \]

Trying values of x in 6x − 12 = −48

x	6x − 12	Equals -48?
-8	-60	no
-7	-54	no
-6	-48	yes
-5	-42	no
-4	-36	no

Questions

What is x in 6x − 12 = −48?

The solution of 6x − 12 = −48 is x = -6.

How do you solve 6x − 12 = −48?

Add 12 to both sides to get 6x = -36, then divide both sides by 6 to get x = -6.

How do I check the answer?

Replace x by -6: 6(-6) − 12 = -48, which is -48.

Solve 6x − 12 = −48

How to work it out

Trying values of x in 6x − 12 = −48

Questions

Similar equations