Solve 5x − 12 = 13

The solution of 5x − 12 = 13 is x = 5.

5x - 12 = 13\ \Rightarrow\ x = 5

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The lines y = 5x − 12 and y = 13 meet at x = 5. 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.
$5x - 12 = 13$
2
Add 12 to both sides:
$5x - 12 + 12 = 13 + 12 \ \Rightarrow\ 5x = 25$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{25}{5} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$5\cdot5 - 12 = 25 - 12 = 13 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 12 = 13\ \Rightarrow\ x = 5 \]
\[ 5x - 12 = 13 \]
\[ 5x - 12 + 12 = 13 + 12 \ \Rightarrow\ 5x = 25 \]
\[ \frac{5x}{5} = \frac{25}{5} \ \Rightarrow\ x = 5 \]
\[ 5\cdot5 - 12 = 25 - 12 = 13 \checkmark \]

Trying values of x in 5x − 12 = 13

x	5x − 12	Equals 13?
3	3	no
4	8	no
5	13	yes
6	18	no
7	23	no

Questions

What is x in 5x − 12 = 13?

The solution of 5x − 12 = 13 is x = 5.

How do you solve 5x − 12 = 13?

Add 12 to both sides to get 5x = 25, then divide both sides by 5 to get x = 5.

How do I check the answer?

Replace x by 5: 5(5) − 12 = 13, which is 13.

Solve 5x − 12 = 13

How to work it out

Trying values of x in 5x − 12 = 13

Questions

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