Solve 8x − 12 = 12

The solution of 8x − 12 = 12 is x = 3.

8x - 12 = 12\ \Rightarrow\ x = 3

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

The lines y = 8x − 12 and y = 12 meet at x = 3. 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.
$8x - 12 = 12$
2
Add 12 to both sides:
$8x - 12 + 12 = 12 + 12 \ \Rightarrow\ 8x = 24$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{24}{8} \ \Rightarrow\ x = 3$
4
Check: put x = 3 back into the equation.
$8\cdot3 - 12 = 24 - 12 = 12 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 12 = 12\ \Rightarrow\ x = 3 \]
\[ 8x - 12 = 12 \]
\[ 8x - 12 + 12 = 12 + 12 \ \Rightarrow\ 8x = 24 \]
\[ \frac{8x}{8} = \frac{24}{8} \ \Rightarrow\ x = 3 \]
\[ 8\cdot3 - 12 = 24 - 12 = 12 \checkmark \]

Trying values of x in 8x − 12 = 12

x	8x − 12	Equals 12?
1	-4	no
2	4	no
3	12	yes
4	20	no
5	28	no

Questions

What is x in 8x − 12 = 12?

The solution of 8x − 12 = 12 is x = 3.

How do you solve 8x − 12 = 12?

Add 12 to both sides to get 8x = 24, then divide both sides by 8 to get x = 3.

How do I check the answer?

Replace x by 3: 8(3) − 12 = 12, which is 12.

Solve 8x − 12 = 12

How to work it out

Trying values of x in 8x − 12 = 12

Questions

Similar equations