Solve 9x − 6 = 138

The solution of 9x − 6 = 138 is x = 16.

9x - 6 = 138\ \Rightarrow\ x = 16

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The lines y = 9x − 6 and y = 138 meet at x = 16. 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.
$9x - 6 = 138$
2
Add 6 to both sides:
$9x - 6 + 6 = 138 + 6 \ \Rightarrow\ 9x = 144$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{144}{9} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$9\cdot16 - 6 = 144 - 6 = 138 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 6 = 138\ \Rightarrow\ x = 16 \]
\[ 9x - 6 = 138 \]
\[ 9x - 6 + 6 = 138 + 6 \ \Rightarrow\ 9x = 144 \]
\[ \frac{9x}{9} = \frac{144}{9} \ \Rightarrow\ x = 16 \]
\[ 9\cdot16 - 6 = 144 - 6 = 138 \checkmark \]

Trying values of x in 9x − 6 = 138

x	9x − 6	Equals 138?
14	120	no
15	129	no
16	138	yes
17	147	no
18	156	no

Questions

What is x in 9x − 6 = 138?

The solution of 9x − 6 = 138 is x = 16.

How do you solve 9x − 6 = 138?

Add 6 to both sides to get 9x = 144, then divide both sides by 9 to get x = 16.

How do I check the answer?

Replace x by 16: 9(16) − 6 = 138, which is 138.

Solve 9x − 6 = 138

How to work it out

Trying values of x in 9x − 6 = 138

Questions

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