Solve 6x − 11 = 13

The solution of 6x − 11 = 13 is x = 4.

6x - 11 = 13\ \Rightarrow\ x = 4

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The lines y = 6x − 11 and y = 13 meet at x = 4. 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.
$6x - 11 = 13$
2
Add 11 to both sides:
$6x - 11 + 11 = 13 + 11 \ \Rightarrow\ 6x = 24$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{24}{6} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$6\cdot4 - 11 = 24 - 11 = 13 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 11 = 13\ \Rightarrow\ x = 4 \]
\[ 6x - 11 = 13 \]
\[ 6x - 11 + 11 = 13 + 11 \ \Rightarrow\ 6x = 24 \]
\[ \frac{6x}{6} = \frac{24}{6} \ \Rightarrow\ x = 4 \]
\[ 6\cdot4 - 11 = 24 - 11 = 13 \checkmark \]

Trying values of x in 6x − 11 = 13

x	6x − 11	Equals 13?
2	1	no
3	7	no
4	13	yes
5	19	no
6	25	no

Questions

What is x in 6x − 11 = 13?

The solution of 6x − 11 = 13 is x = 4.

How do you solve 6x − 11 = 13?

Add 11 to both sides to get 6x = 24, then divide both sides by 6 to get x = 4.

How do I check the answer?

Replace x by 4: 6(4) − 11 = 13, which is 13.

Solve 6x − 11 = 13

How to work it out

Trying values of x in 6x − 11 = 13

Questions

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