Solve 11x − 5 = 193

The solution of 11x − 5 = 193 is x = 18.

11x - 5 = 193\ \Rightarrow\ x = 18

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The lines y = 11x − 5 and y = 193 meet at x = 18. 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.
$11x - 5 = 193$
2
Add 5 to both sides:
$11x - 5 + 5 = 193 + 5 \ \Rightarrow\ 11x = 198$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{198}{11} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$11\cdot18 - 5 = 198 - 5 = 193 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 5 = 193\ \Rightarrow\ x = 18 \]
\[ 11x - 5 = 193 \]
\[ 11x - 5 + 5 = 193 + 5 \ \Rightarrow\ 11x = 198 \]
\[ \frac{11x}{11} = \frac{198}{11} \ \Rightarrow\ x = 18 \]
\[ 11\cdot18 - 5 = 198 - 5 = 193 \checkmark \]

Trying values of x in 11x − 5 = 193

x	11x − 5	Equals 193?
16	171	no
17	182	no
18	193	yes
19	204	no
20	215	no

Questions

What is x in 11x − 5 = 193?

The solution of 11x − 5 = 193 is x = 18.

How do you solve 11x − 5 = 193?

Add 5 to both sides to get 11x = 198, then divide both sides by 11 to get x = 18.

How do I check the answer?

Replace x by 18: 11(18) − 5 = 193, which is 193.

Solve 11x − 5 = 193

How to work it out

Trying values of x in 11x − 5 = 193

Questions

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