Solve 11x − 4 = 205

The solution of 11x − 4 = 205 is x = 19.

11x - 4 = 205\ \Rightarrow\ x = 19

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The lines y = 11x − 4 and y = 205 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.
$11x - 4 = 205$
2
Add 4 to both sides:
$11x - 4 + 4 = 205 + 4 \ \Rightarrow\ 11x = 209$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$11\cdot19 - 4 = 209 - 4 = 205 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 4 = 205\ \Rightarrow\ x = 19 \]
\[ 11x - 4 = 205 \]
\[ 11x - 4 + 4 = 205 + 4 \ \Rightarrow\ 11x = 209 \]
\[ \frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19 \]
\[ 11\cdot19 - 4 = 209 - 4 = 205 \checkmark \]

Trying values of x in 11x − 4 = 205

x	11x − 4	Equals 205?
17	183	no
18	194	no
19	205	yes
20	216	no
21	227	no

Questions

What is x in 11x − 4 = 205?

The solution of 11x − 4 = 205 is x = 19.

How do you solve 11x − 4 = 205?

Add 4 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) − 4 = 205, which is 205.

Solve 11x − 4 = 205

How to work it out

Trying values of x in 11x − 4 = 205

Questions

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