Solve 12x − 8 = −32

The solution of 12x − 8 = −32 is x = -2.

12x - 8 = -32\ \Rightarrow\ x = -2

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

The lines y = 12x − 8 and y = -32 meet at x = -2. 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.
$12x - 8 = -32$
2
Add 8 to both sides:
$12x - 8 + 8 = -32 + 8 \ \Rightarrow\ 12x = -24$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-24}{12} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$12\cdot(-2) - 8 = -24 - 8 = -32 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 8 = -32\ \Rightarrow\ x = -2 \]
\[ 12x - 8 = -32 \]
\[ 12x - 8 + 8 = -32 + 8 \ \Rightarrow\ 12x = -24 \]
\[ \frac{12x}{12} = \frac{-24}{12} \ \Rightarrow\ x = -2 \]
\[ 12\cdot(-2) - 8 = -24 - 8 = -32 \checkmark \]

Trying values of x in 12x − 8 = −32

x	12x − 8	Equals -32?
-4	-56	no
-3	-44	no
-2	-32	yes
-1	-20	no
0	-8	no

Questions

What is x in 12x − 8 = −32?

The solution of 12x − 8 = −32 is x = -2.

How do you solve 12x − 8 = −32?

Add 8 to both sides to get 12x = -24, then divide both sides by 12 to get x = -2.

How do I check the answer?

Replace x by -2: 12(-2) − 8 = -32, which is -32.

Solve 12x − 8 = −32

How to work it out

Trying values of x in 12x − 8 = −32

Questions

Similar equations