Solve 6x − 12 = 84

The solution of 6x − 12 = 84 is x = 16.

6x - 12 = 84\ \Rightarrow\ x = 16

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

The lines y = 6x − 12 and y = 84 meet at x = 16. 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.
$6x - 12 = 84$
2
Add 12 to both sides:
$6x - 12 + 12 = 84 + 12 \ \Rightarrow\ 6x = 96$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{96}{6} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$6\cdot16 - 12 = 96 - 12 = 84 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 12 = 84\ \Rightarrow\ x = 16 \]
\[ 6x - 12 = 84 \]
\[ 6x - 12 + 12 = 84 + 12 \ \Rightarrow\ 6x = 96 \]
\[ \frac{6x}{6} = \frac{96}{6} \ \Rightarrow\ x = 16 \]
\[ 6\cdot16 - 12 = 96 - 12 = 84 \checkmark \]

Trying values of x in 6x − 12 = 84

x	6x − 12	Equals 84?
14	72	no
15	78	no
16	84	yes
17	90	no
18	96	no

Questions

What is x in 6x − 12 = 84?

The solution of 6x − 12 = 84 is x = 16.

How do you solve 6x − 12 = 84?

Add 12 to both sides to get 6x = 96, then divide both sides by 6 to get x = 16.

How do I check the answer?

Replace x by 16: 6(16) − 12 = 84, which is 84.

Solve 6x − 12 = 84

How to work it out

Trying values of x in 6x − 12 = 84

Questions

Similar equations