Solve 7x − 1 = 111

The solution of 7x − 1 = 111 is x = 16.

7x - 1 = 111\ \Rightarrow\ x = 16

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The lines y = 7x − 1 and y = 111 meet at x = 16. 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.
$7x - 1 = 111$
2
Add 1 to both sides:
$7x - 1 + 1 = 111 + 1 \ \Rightarrow\ 7x = 112$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{112}{7} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$7\cdot16 - 1 = 112 - 1 = 111 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 1 = 111\ \Rightarrow\ x = 16 \]
\[ 7x - 1 = 111 \]
\[ 7x - 1 + 1 = 111 + 1 \ \Rightarrow\ 7x = 112 \]
\[ \frac{7x}{7} = \frac{112}{7} \ \Rightarrow\ x = 16 \]
\[ 7\cdot16 - 1 = 112 - 1 = 111 \checkmark \]

Trying values of x in 7x − 1 = 111

x	7x − 1	Equals 111?
14	97	no
15	104	no
16	111	yes
17	118	no
18	125	no

Questions

What is x in 7x − 1 = 111?

The solution of 7x − 1 = 111 is x = 16.

How do you solve 7x − 1 = 111?

Add 1 to both sides to get 7x = 112, then divide both sides by 7 to get x = 16.

How do I check the answer?

Replace x by 16: 7(16) − 1 = 111, which is 111.

Solve 7x − 1 = 111

How to work it out

Trying values of x in 7x − 1 = 111

Questions

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