Solve 10x − 11 = 189

The solution of 10x − 11 = 189 is x = 20.

10x - 11 = 189\ \Rightarrow\ x = 20

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The lines y = 10x − 11 and y = 189 meet at x = 20. 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.
$10x - 11 = 189$
2
Add 11 to both sides:
$10x - 11 + 11 = 189 + 11 \ \Rightarrow\ 10x = 200$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20$
4
Check: put x = 20 back into the equation.
$10\cdot20 - 11 = 200 - 11 = 189 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 11 = 189\ \Rightarrow\ x = 20 \]
\[ 10x - 11 = 189 \]
\[ 10x - 11 + 11 = 189 + 11 \ \Rightarrow\ 10x = 200 \]
\[ \frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20 \]
\[ 10\cdot20 - 11 = 200 - 11 = 189 \checkmark \]

Trying values of x in 10x − 11 = 189

x	10x − 11	Equals 189?
18	169	no
19	179	no
20	189	yes
21	199	no
22	209	no

Questions

What is x in 10x − 11 = 189?

The solution of 10x − 11 = 189 is x = 20.

How do you solve 10x − 11 = 189?

Add 11 to both sides to get 10x = 200, then divide both sides by 10 to get x = 20.

How do I check the answer?

Replace x by 20: 10(20) − 11 = 189, which is 189.

Solve 10x − 11 = 189

How to work it out

Trying values of x in 10x − 11 = 189

Questions

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