Solve 11x − 9 = 178

The solution of 11x − 9 = 178 is x = 17.

11x - 9 = 178\ \Rightarrow\ x = 17

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The lines y = 11x − 9 and y = 178 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.
$11x - 9 = 178$
2
Add 9 to both sides:
$11x - 9 + 9 = 178 + 9 \ \Rightarrow\ 11x = 187$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{187}{11} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$11\cdot17 - 9 = 187 - 9 = 178 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 9 = 178\ \Rightarrow\ x = 17 \]
\[ 11x - 9 = 178 \]
\[ 11x - 9 + 9 = 178 + 9 \ \Rightarrow\ 11x = 187 \]
\[ \frac{11x}{11} = \frac{187}{11} \ \Rightarrow\ x = 17 \]
\[ 11\cdot17 - 9 = 187 - 9 = 178 \checkmark \]

Trying values of x in 11x − 9 = 178

x	11x − 9	Equals 178?
15	156	no
16	167	no
17	178	yes
18	189	no
19	200	no

Questions

What is x in 11x − 9 = 178?

The solution of 11x − 9 = 178 is x = 17.

How do you solve 11x − 9 = 178?

Add 9 to both sides to get 11x = 187, then divide both sides by 11 to get x = 17.

How do I check the answer?

Replace x by 17: 11(17) − 9 = 178, which is 178.

Solve 11x − 9 = 178

How to work it out

Trying values of x in 11x − 9 = 178

Questions

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