Solve 5x − 13 = 17

The solution of 5x − 13 = 17 is x = 6.

5x - 13 = 17\ \Rightarrow\ x = 6

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The lines y = 5x − 13 and y = 17 meet at x = 6. 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.
$5x - 13 = 17$
2
Add 13 to both sides:
$5x - 13 + 13 = 17 + 13 \ \Rightarrow\ 5x = 30$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{30}{5} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$5\cdot6 - 13 = 30 - 13 = 17 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 13 = 17\ \Rightarrow\ x = 6 \]
\[ 5x - 13 = 17 \]
\[ 5x - 13 + 13 = 17 + 13 \ \Rightarrow\ 5x = 30 \]
\[ \frac{5x}{5} = \frac{30}{5} \ \Rightarrow\ x = 6 \]
\[ 5\cdot6 - 13 = 30 - 13 = 17 \checkmark \]

Trying values of x in 5x − 13 = 17

x	5x − 13	Equals 17?
4	7	no
5	12	no
6	17	yes
7	22	no
8	27	no

Questions

What is x in 5x − 13 = 17?

The solution of 5x − 13 = 17 is x = 6.

How do you solve 5x − 13 = 17?

Add 13 to both sides to get 5x = 30, then divide both sides by 5 to get x = 6.

How do I check the answer?

Replace x by 6: 5(6) − 13 = 17, which is 17.

Solve 5x − 13 = 17

How to work it out

Trying values of x in 5x − 13 = 17

Questions

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