Solve 6x − 5 = 115

The solution of 6x − 5 = 115 is x = 20.

6x - 5 = 115\ \Rightarrow\ x = 20

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

The lines y = 6x − 5 and y = 115 meet at x = 20. 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.
$6x - 5 = 115$
2
Add 5 to both sides:
$6x - 5 + 5 = 115 + 5 \ \Rightarrow\ 6x = 120$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{120}{6} \ \Rightarrow\ x = 20$
4
Check: put x = 20 back into the equation.
$6\cdot20 - 5 = 120 - 5 = 115 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 5 = 115\ \Rightarrow\ x = 20 \]
\[ 6x - 5 = 115 \]
\[ 6x - 5 + 5 = 115 + 5 \ \Rightarrow\ 6x = 120 \]
\[ \frac{6x}{6} = \frac{120}{6} \ \Rightarrow\ x = 20 \]
\[ 6\cdot20 - 5 = 120 - 5 = 115 \checkmark \]

Trying values of x in 6x − 5 = 115

x	6x − 5	Equals 115?
18	103	no
19	109	no
20	115	yes
21	121	no
22	127	no

Questions

What is x in 6x − 5 = 115?

The solution of 6x − 5 = 115 is x = 20.

How do you solve 6x − 5 = 115?

Add 5 to both sides to get 6x = 120, then divide both sides by 6 to get x = 20.

How do I check the answer?

Replace x by 20: 6(20) − 5 = 115, which is 115.

Solve 6x − 5 = 115

How to work it out

Trying values of x in 6x − 5 = 115

Questions

Similar equations