Solve 11x − 5 = 204

The solution of 11x − 5 = 204 is x = 19.

11x - 5 = 204\ \Rightarrow\ x = 19

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The lines y = 11x − 5 and y = 204 meet at x = 19. 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.
$11x - 5 = 204$
2
Add 5 to both sides:
$11x - 5 + 5 = 204 + 5 \ \Rightarrow\ 11x = 209$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$11\cdot19 - 5 = 209 - 5 = 204 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 5 = 204\ \Rightarrow\ x = 19 \]
\[ 11x - 5 = 204 \]
\[ 11x - 5 + 5 = 204 + 5 \ \Rightarrow\ 11x = 209 \]
\[ \frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19 \]
\[ 11\cdot19 - 5 = 209 - 5 = 204 \checkmark \]

Trying values of x in 11x − 5 = 204

x	11x − 5	Equals 204?
17	182	no
18	193	no
19	204	yes
20	215	no
21	226	no

Questions

What is x in 11x − 5 = 204?

The solution of 11x − 5 = 204 is x = 19.

How do you solve 11x − 5 = 204?

Add 5 to both sides to get 11x = 209, then divide both sides by 11 to get x = 19.

How do I check the answer?

Replace x by 19: 11(19) − 5 = 204, which is 204.

Solve 11x − 5 = 204

How to work it out

Trying values of x in 11x − 5 = 204

Questions

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