Solve 6x − 5 = 13

The solution of 6x − 5 = 13 is x = 3.

6x - 5 = 13\ \Rightarrow\ x = 3

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

The lines y = 6x − 5 and y = 13 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.
$6x - 5 = 13$
2
Add 5 to both sides:
$6x - 5 + 5 = 13 + 5 \ \Rightarrow\ 6x = 18$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{18}{6} \ \Rightarrow\ x = 3$
4
Check: put x = 3 back into the equation.
$6\cdot3 - 5 = 18 - 5 = 13 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 5 = 13\ \Rightarrow\ x = 3 \]
\[ 6x - 5 = 13 \]
\[ 6x - 5 + 5 = 13 + 5 \ \Rightarrow\ 6x = 18 \]
\[ \frac{6x}{6} = \frac{18}{6} \ \Rightarrow\ x = 3 \]
\[ 6\cdot3 - 5 = 18 - 5 = 13 \checkmark \]

Trying values of x in 6x − 5 = 13

x	6x − 5	Equals 13?
1	1	no
2	7	no
3	13	yes
4	19	no
5	25	no

Questions

What is x in 6x − 5 = 13?

The solution of 6x − 5 = 13 is x = 3.

How do you solve 6x − 5 = 13?

Add 5 to both sides to get 6x = 18, then divide both sides by 6 to get x = 3.

How do I check the answer?

Replace x by 3: 6(3) − 5 = 13, which is 13.

Solve 6x − 5 = 13

How to work it out

Trying values of x in 6x − 5 = 13

Questions

Similar equations