Solve 6x − 13 = 47

The solution of 6x − 13 = 47 is x = 10.

6x - 13 = 47\ \Rightarrow\ x = 10

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The lines y = 6x − 13 and y = 47 meet at x = 10. 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.
$6x - 13 = 47$
2
Add 13 to both sides:
$6x - 13 + 13 = 47 + 13 \ \Rightarrow\ 6x = 60$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{60}{6} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$6\cdot10 - 13 = 60 - 13 = 47 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 13 = 47\ \Rightarrow\ x = 10 \]
\[ 6x - 13 = 47 \]
\[ 6x - 13 + 13 = 47 + 13 \ \Rightarrow\ 6x = 60 \]
\[ \frac{6x}{6} = \frac{60}{6} \ \Rightarrow\ x = 10 \]
\[ 6\cdot10 - 13 = 60 - 13 = 47 \checkmark \]

Trying values of x in 6x − 13 = 47

x	6x − 13	Equals 47?
8	35	no
9	41	no
10	47	yes
11	53	no
12	59	no

Questions

What is x in 6x − 13 = 47?

The solution of 6x − 13 = 47 is x = 10.

How do you solve 6x − 13 = 47?

Add 13 to both sides to get 6x = 60, then divide both sides by 6 to get x = 10.

How do I check the answer?

Replace x by 10: 6(10) − 13 = 47, which is 47.

Solve 6x − 13 = 47

How to work it out

Trying values of x in 6x − 13 = 47

Questions

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