Solve 5x − 11 = 59

The solution of 5x − 11 = 59 is x = 14.

5x - 11 = 59\ \Rightarrow\ x = 14

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The lines y = 5x − 11 and y = 59 meet at x = 14. 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.
$5x - 11 = 59$
2
Add 11 to both sides:
$5x - 11 + 11 = 59 + 11 \ \Rightarrow\ 5x = 70$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{70}{5} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$5\cdot14 - 11 = 70 - 11 = 59 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 11 = 59\ \Rightarrow\ x = 14 \]
\[ 5x - 11 = 59 \]
\[ 5x - 11 + 11 = 59 + 11 \ \Rightarrow\ 5x = 70 \]
\[ \frac{5x}{5} = \frac{70}{5} \ \Rightarrow\ x = 14 \]
\[ 5\cdot14 - 11 = 70 - 11 = 59 \checkmark \]

Trying values of x in 5x − 11 = 59

x	5x − 11	Equals 59?
12	49	no
13	54	no
14	59	yes
15	64	no
16	69	no

Questions

What is x in 5x − 11 = 59?

The solution of 5x − 11 = 59 is x = 14.

How do you solve 5x − 11 = 59?

Add 11 to both sides to get 5x = 70, then divide both sides by 5 to get x = 14.

How do I check the answer?

Replace x by 14: 5(14) − 11 = 59, which is 59.

Solve 5x − 11 = 59

How to work it out

Trying values of x in 5x − 11 = 59

Questions

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