Solve 6x − 9 = 93

The solution of 6x − 9 = 93 is x = 17.

6x - 9 = 93\ \Rightarrow\ x = 17

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

The lines y = 6x − 9 and y = 93 meet at x = 17. 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.
$6x - 9 = 93$
2
Add 9 to both sides:
$6x - 9 + 9 = 93 + 9 \ \Rightarrow\ 6x = 102$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{102}{6} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$6\cdot17 - 9 = 102 - 9 = 93 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 9 = 93\ \Rightarrow\ x = 17 \]
\[ 6x - 9 = 93 \]
\[ 6x - 9 + 9 = 93 + 9 \ \Rightarrow\ 6x = 102 \]
\[ \frac{6x}{6} = \frac{102}{6} \ \Rightarrow\ x = 17 \]
\[ 6\cdot17 - 9 = 102 - 9 = 93 \checkmark \]

Trying values of x in 6x − 9 = 93

x	6x − 9	Equals 93?
15	81	no
16	87	no
17	93	yes
18	99	no
19	105	no

Questions

What is x in 6x − 9 = 93?

The solution of 6x − 9 = 93 is x = 17.

How do you solve 6x − 9 = 93?

Add 9 to both sides to get 6x = 102, then divide both sides by 6 to get x = 17.

How do I check the answer?

Replace x by 17: 6(17) − 9 = 93, which is 93.

Solve 6x − 9 = 93

How to work it out

Trying values of x in 6x − 9 = 93

Questions

Similar equations