Solve 6x − 13 = 53

The solution of 6x − 13 = 53 is x = 11.

6x - 13 = 53\ \Rightarrow\ x = 11

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The lines y = 6x − 13 and y = 53 meet at x = 11. 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.
$6x - 13 = 53$
2
Add 13 to both sides:
$6x - 13 + 13 = 53 + 13 \ \Rightarrow\ 6x = 66$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{66}{6} \ \Rightarrow\ x = 11$
4
Check: put x = 11 back into the equation.
$6\cdot11 - 13 = 66 - 13 = 53 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 13 = 53\ \Rightarrow\ x = 11 \]
\[ 6x - 13 = 53 \]
\[ 6x - 13 + 13 = 53 + 13 \ \Rightarrow\ 6x = 66 \]
\[ \frac{6x}{6} = \frac{66}{6} \ \Rightarrow\ x = 11 \]
\[ 6\cdot11 - 13 = 66 - 13 = 53 \checkmark \]

Trying values of x in 6x − 13 = 53

x	6x − 13	Equals 53?
9	41	no
10	47	no
11	53	yes
12	59	no
13	65	no

Questions

What is x in 6x − 13 = 53?

The solution of 6x − 13 = 53 is x = 11.

How do you solve 6x − 13 = 53?

Add 13 to both sides to get 6x = 66, then divide both sides by 6 to get x = 11.

How do I check the answer?

Replace x by 11: 6(11) − 13 = 53, which is 53.

Solve 6x − 13 = 53

How to work it out

Trying values of x in 6x − 13 = 53

Questions

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