Solve 5x − 11 = 84

The solution of 5x − 11 = 84 is x = 19.

5x - 11 = 84\ \Rightarrow\ x = 19

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The lines y = 5x − 11 and y = 84 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.
$5x - 11 = 84$
2
Add 11 to both sides:
$5x - 11 + 11 = 84 + 11 \ \Rightarrow\ 5x = 95$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{95}{5} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$5\cdot19 - 11 = 95 - 11 = 84 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 11 = 84\ \Rightarrow\ x = 19 \]
\[ 5x - 11 = 84 \]
\[ 5x - 11 + 11 = 84 + 11 \ \Rightarrow\ 5x = 95 \]
\[ \frac{5x}{5} = \frac{95}{5} \ \Rightarrow\ x = 19 \]
\[ 5\cdot19 - 11 = 95 - 11 = 84 \checkmark \]

Trying values of x in 5x − 11 = 84

x	5x − 11	Equals 84?
17	74	no
18	79	no
19	84	yes
20	89	no
21	94	no

Questions

What is x in 5x − 11 = 84?

The solution of 5x − 11 = 84 is x = 19.

How do you solve 5x − 11 = 84?

Add 11 to both sides to get 5x = 95, then divide both sides by 5 to get x = 19.

How do I check the answer?

Replace x by 19: 5(19) − 11 = 84, which is 84.

Solve 5x − 11 = 84

How to work it out

Trying values of x in 5x − 11 = 84

Questions

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