Solve 3x − 11 = 13

The solution of 3x − 11 = 13 is x = 8.

3x - 11 = 13\ \Rightarrow\ x = 8

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The lines y = 3x − 11 and y = 13 meet at x = 8. 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.
$3x - 11 = 13$
2
Add 11 to both sides:
$3x - 11 + 11 = 13 + 11 \ \Rightarrow\ 3x = 24$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{24}{3} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$3\cdot8 - 11 = 24 - 11 = 13 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 11 = 13\ \Rightarrow\ x = 8 \]
\[ 3x - 11 = 13 \]
\[ 3x - 11 + 11 = 13 + 11 \ \Rightarrow\ 3x = 24 \]
\[ \frac{3x}{3} = \frac{24}{3} \ \Rightarrow\ x = 8 \]
\[ 3\cdot8 - 11 = 24 - 11 = 13 \checkmark \]

Trying values of x in 3x − 11 = 13

x	3x − 11	Equals 13?
6	7	no
7	10	no
8	13	yes
9	16	no
10	19	no

Questions

What is x in 3x − 11 = 13?

The solution of 3x − 11 = 13 is x = 8.

How do you solve 3x − 11 = 13?

Add 11 to both sides to get 3x = 24, then divide both sides by 3 to get x = 8.

How do I check the answer?

Replace x by 8: 3(8) − 11 = 13, which is 13.

Solve 3x − 11 = 13

How to work it out

Trying values of x in 3x − 11 = 13

Questions

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