Solve 8x − 9 = 151

The solution of 8x − 9 = 151 is x = 20.

8x - 9 = 151\ \Rightarrow\ x = 20

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The lines y = 8x − 9 and y = 151 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.
$8x - 9 = 151$
2
Add 9 to both sides:
$8x - 9 + 9 = 151 + 9 \ \Rightarrow\ 8x = 160$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{160}{8} \ \Rightarrow\ x = 20$
4
Check: put x = 20 back into the equation.
$8\cdot20 - 9 = 160 - 9 = 151 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 9 = 151\ \Rightarrow\ x = 20 \]
\[ 8x - 9 = 151 \]
\[ 8x - 9 + 9 = 151 + 9 \ \Rightarrow\ 8x = 160 \]
\[ \frac{8x}{8} = \frac{160}{8} \ \Rightarrow\ x = 20 \]
\[ 8\cdot20 - 9 = 160 - 9 = 151 \checkmark \]

Trying values of x in 8x − 9 = 151

x	8x − 9	Equals 151?
18	135	no
19	143	no
20	151	yes
21	159	no
22	167	no

Questions

What is x in 8x − 9 = 151?

The solution of 8x − 9 = 151 is x = 20.

How do you solve 8x − 9 = 151?

Add 9 to both sides to get 8x = 160, then divide both sides by 8 to get x = 20.

How do I check the answer?

Replace x by 20: 8(20) − 9 = 151, which is 151.

Solve 8x − 9 = 151

How to work it out

Trying values of x in 8x − 9 = 151

Questions

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