Solve 6x − 5 = 19

The solution of 6x − 5 = 19 is x = 4.

6x - 5 = 19\ \Rightarrow\ x = 4

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

The lines y = 6x − 5 and y = 19 meet at x = 4. 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.
$6x - 5 = 19$
2
Add 5 to both sides:
$6x - 5 + 5 = 19 + 5 \ \Rightarrow\ 6x = 24$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{24}{6} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$6\cdot4 - 5 = 24 - 5 = 19 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 5 = 19\ \Rightarrow\ x = 4 \]
\[ 6x - 5 = 19 \]
\[ 6x - 5 + 5 = 19 + 5 \ \Rightarrow\ 6x = 24 \]
\[ \frac{6x}{6} = \frac{24}{6} \ \Rightarrow\ x = 4 \]
\[ 6\cdot4 - 5 = 24 - 5 = 19 \checkmark \]

Trying values of x in 6x − 5 = 19

x	6x − 5	Equals 19?
2	7	no
3	13	no
4	19	yes
5	25	no
6	31	no

Questions

What is x in 6x − 5 = 19?

The solution of 6x − 5 = 19 is x = 4.

How do you solve 6x − 5 = 19?

Add 5 to both sides to get 6x = 24, then divide both sides by 6 to get x = 4.

How do I check the answer?

Replace x by 4: 6(4) − 5 = 19, which is 19.

Solve 6x − 5 = 19

How to work it out

Trying values of x in 6x − 5 = 19

Questions

Similar equations