Solve 9x − 5 = 148

The solution of 9x − 5 = 148 is x = 17.

9x - 5 = 148\ \Rightarrow\ x = 17

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The lines y = 9x − 5 and y = 148 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.
$9x - 5 = 148$
2
Add 5 to both sides:
$9x - 5 + 5 = 148 + 5 \ \Rightarrow\ 9x = 153$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{153}{9} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$9\cdot17 - 5 = 153 - 5 = 148 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 5 = 148\ \Rightarrow\ x = 17 \]
\[ 9x - 5 = 148 \]
\[ 9x - 5 + 5 = 148 + 5 \ \Rightarrow\ 9x = 153 \]
\[ \frac{9x}{9} = \frac{153}{9} \ \Rightarrow\ x = 17 \]
\[ 9\cdot17 - 5 = 153 - 5 = 148 \checkmark \]

Trying values of x in 9x − 5 = 148

x	9x − 5	Equals 148?
15	130	no
16	139	no
17	148	yes
18	157	no
19	166	no

Questions

What is x in 9x − 5 = 148?

The solution of 9x − 5 = 148 is x = 17.

How do you solve 9x − 5 = 148?

Add 5 to both sides to get 9x = 153, then divide both sides by 9 to get x = 17.

How do I check the answer?

Replace x by 17: 9(17) − 5 = 148, which is 148.

Solve 9x − 5 = 148

How to work it out

Trying values of x in 9x − 5 = 148

Questions

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