Solve 12x − 4 = 92

The solution of 12x − 4 = 92 is x = 8.

12x - 4 = 92\ \Rightarrow\ x = 8

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

The lines y = 12x − 4 and y = 92 meet at x = 8. 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.
$12x - 4 = 92$
2
Add 4 to both sides:
$12x - 4 + 4 = 92 + 4 \ \Rightarrow\ 12x = 96$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$12\cdot8 - 4 = 96 - 4 = 92 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 4 = 92\ \Rightarrow\ x = 8 \]
\[ 12x - 4 = 92 \]
\[ 12x - 4 + 4 = 92 + 4 \ \Rightarrow\ 12x = 96 \]
\[ \frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8 \]
\[ 12\cdot8 - 4 = 96 - 4 = 92 \checkmark \]

Trying values of x in 12x − 4 = 92

x	12x − 4	Equals 92?
6	68	no
7	80	no
8	92	yes
9	104	no
10	116	no

Questions

What is x in 12x − 4 = 92?

The solution of 12x − 4 = 92 is x = 8.

How do you solve 12x − 4 = 92?

Add 4 to both sides to get 12x = 96, then divide both sides by 12 to get x = 8.

How do I check the answer?

Replace x by 8: 12(8) − 4 = 92, which is 92.

Solve 12x − 4 = 92

How to work it out

Trying values of x in 12x − 4 = 92

Questions

Similar equations