Solve 9x − 5 = 157

The solution of 9x − 5 = 157 is x = 18.

9x - 5 = 157\ \Rightarrow\ x = 18

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The lines y = 9x − 5 and y = 157 meet at x = 18. 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.
$9x - 5 = 157$
2
Add 5 to both sides:
$9x - 5 + 5 = 157 + 5 \ \Rightarrow\ 9x = 162$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{162}{9} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$9\cdot18 - 5 = 162 - 5 = 157 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 5 = 157\ \Rightarrow\ x = 18 \]
\[ 9x - 5 = 157 \]
\[ 9x - 5 + 5 = 157 + 5 \ \Rightarrow\ 9x = 162 \]
\[ \frac{9x}{9} = \frac{162}{9} \ \Rightarrow\ x = 18 \]
\[ 9\cdot18 - 5 = 162 - 5 = 157 \checkmark \]

Trying values of x in 9x − 5 = 157

x	9x − 5	Equals 157?
16	139	no
17	148	no
18	157	yes
19	166	no
20	175	no

Questions

What is x in 9x − 5 = 157?

The solution of 9x − 5 = 157 is x = 18.

How do you solve 9x − 5 = 157?

Add 5 to both sides to get 9x = 162, then divide both sides by 9 to get x = 18.

How do I check the answer?

Replace x by 18: 9(18) − 5 = 157, which is 157.

Solve 9x − 5 = 157

How to work it out

Trying values of x in 9x − 5 = 157

Questions

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