Solve 8x − 1 = 111

The solution of 8x − 1 = 111 is x = 14.

8x - 1 = 111\ \Rightarrow\ x = 14

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The lines y = 8x − 1 and y = 111 meet at x = 14. 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.
$8x - 1 = 111$
2
Add 1 to both sides:
$8x - 1 + 1 = 111 + 1 \ \Rightarrow\ 8x = 112$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{112}{8} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$8\cdot14 - 1 = 112 - 1 = 111 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 1 = 111\ \Rightarrow\ x = 14 \]
\[ 8x - 1 = 111 \]
\[ 8x - 1 + 1 = 111 + 1 \ \Rightarrow\ 8x = 112 \]
\[ \frac{8x}{8} = \frac{112}{8} \ \Rightarrow\ x = 14 \]
\[ 8\cdot14 - 1 = 112 - 1 = 111 \checkmark \]

Trying values of x in 8x − 1 = 111

x	8x − 1	Equals 111?
12	95	no
13	103	no
14	111	yes
15	119	no
16	127	no

Questions

What is x in 8x − 1 = 111?

The solution of 8x − 1 = 111 is x = 14.

How do you solve 8x − 1 = 111?

Add 1 to both sides to get 8x = 112, then divide both sides by 8 to get x = 14.

How do I check the answer?

Replace x by 14: 8(14) − 1 = 111, which is 111.

Solve 8x − 1 = 111

How to work it out

Trying values of x in 8x − 1 = 111

Questions

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