Solve 9x − 7 = 146

The solution of 9x − 7 = 146 is x = 17.

9x - 7 = 146\ \Rightarrow\ x = 17

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The lines y = 9x − 7 and y = 146 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.
$9x - 7 = 146$
2
Add 7 to both sides:
$9x - 7 + 7 = 146 + 7 \ \Rightarrow\ 9x = 153$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{153}{9} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$9\cdot17 - 7 = 153 - 7 = 146 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 7 = 146\ \Rightarrow\ x = 17 \]
\[ 9x - 7 = 146 \]
\[ 9x - 7 + 7 = 146 + 7 \ \Rightarrow\ 9x = 153 \]
\[ \frac{9x}{9} = \frac{153}{9} \ \Rightarrow\ x = 17 \]
\[ 9\cdot17 - 7 = 153 - 7 = 146 \checkmark \]

Trying values of x in 9x − 7 = 146

x	9x − 7	Equals 146?
15	128	no
16	137	no
17	146	yes
18	155	no
19	164	no

Questions

What is x in 9x − 7 = 146?

The solution of 9x − 7 = 146 is x = 17.

How do you solve 9x − 7 = 146?

Add 7 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) − 7 = 146, which is 146.

Solve 9x − 7 = 146

How to work it out

Trying values of x in 9x − 7 = 146

Questions

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