Solve 7x − 1 = 118

The solution of 7x − 1 = 118 is x = 17.

7x - 1 = 118\ \Rightarrow\ x = 17

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

The lines y = 7x − 1 and y = 118 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.
$7x - 1 = 118$
2
Add 1 to both sides:
$7x - 1 + 1 = 118 + 1 \ \Rightarrow\ 7x = 119$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{119}{7} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$7\cdot17 - 1 = 119 - 1 = 118 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 1 = 118\ \Rightarrow\ x = 17 \]
\[ 7x - 1 = 118 \]
\[ 7x - 1 + 1 = 118 + 1 \ \Rightarrow\ 7x = 119 \]
\[ \frac{7x}{7} = \frac{119}{7} \ \Rightarrow\ x = 17 \]
\[ 7\cdot17 - 1 = 119 - 1 = 118 \checkmark \]

Trying values of x in 7x − 1 = 118

x	7x − 1	Equals 118?
15	104	no
16	111	no
17	118	yes
18	125	no
19	132	no

Questions

What is x in 7x − 1 = 118?

The solution of 7x − 1 = 118 is x = 17.

How do you solve 7x − 1 = 118?

Add 1 to both sides to get 7x = 119, then divide both sides by 7 to get x = 17.

How do I check the answer?

Replace x by 17: 7(17) − 1 = 118, which is 118.

Solve 7x − 1 = 118

How to work it out

Trying values of x in 7x − 1 = 118

Questions

Similar equations