Solve 6x − 5 = 25

The solution of 6x − 5 = 25 is x = 5.

6x - 5 = 25\ \Rightarrow\ x = 5

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

The lines y = 6x − 5 and y = 25 meet at x = 5. 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.
$6x - 5 = 25$
2
Add 5 to both sides:
$6x - 5 + 5 = 25 + 5 \ \Rightarrow\ 6x = 30$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{30}{6} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$6\cdot5 - 5 = 30 - 5 = 25 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 5 = 25\ \Rightarrow\ x = 5 \]
\[ 6x - 5 = 25 \]
\[ 6x - 5 + 5 = 25 + 5 \ \Rightarrow\ 6x = 30 \]
\[ \frac{6x}{6} = \frac{30}{6} \ \Rightarrow\ x = 5 \]
\[ 6\cdot5 - 5 = 30 - 5 = 25 \checkmark \]

Trying values of x in 6x − 5 = 25

x	6x − 5	Equals 25?
3	13	no
4	19	no
5	25	yes
6	31	no
7	37	no

Questions

What is x in 6x − 5 = 25?

The solution of 6x − 5 = 25 is x = 5.

How do you solve 6x − 5 = 25?

Add 5 to both sides to get 6x = 30, then divide both sides by 6 to get x = 5.

How do I check the answer?

Replace x by 5: 6(5) − 5 = 25, which is 25.

Solve 6x − 5 = 25

How to work it out

Trying values of x in 6x − 5 = 25

Questions

Similar equations