Solve 3x − 11 = 7

The solution of 3x − 11 = 7 is x = 6.

3x - 11 = 7\ \Rightarrow\ x = 6

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The lines y = 3x − 11 and y = 7 meet at x = 6. 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.
$3x - 11 = 7$
2
Add 11 to both sides:
$3x - 11 + 11 = 7 + 11 \ \Rightarrow\ 3x = 18$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{18}{3} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$3\cdot6 - 11 = 18 - 11 = 7 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 11 = 7\ \Rightarrow\ x = 6 \]
\[ 3x - 11 = 7 \]
\[ 3x - 11 + 11 = 7 + 11 \ \Rightarrow\ 3x = 18 \]
\[ \frac{3x}{3} = \frac{18}{3} \ \Rightarrow\ x = 6 \]
\[ 3\cdot6 - 11 = 18 - 11 = 7 \checkmark \]

Trying values of x in 3x − 11 = 7

x	3x − 11	Equals 7?
4	1	no
5	4	no
6	7	yes
7	10	no
8	13	no

Questions

What is x in 3x − 11 = 7?

The solution of 3x − 11 = 7 is x = 6.

How do you solve 3x − 11 = 7?

Add 11 to both sides to get 3x = 18, then divide both sides by 3 to get x = 6.

How do I check the answer?

Replace x by 6: 3(6) − 11 = 7, which is 7.

Solve 3x − 11 = 7

How to work it out

Trying values of x in 3x − 11 = 7

Questions

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