Solve 3x − 7 = 11

The solution of 3x − 7 = 11 is x = 6.

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

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

LaTeX source of the formulas on this page

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

Trying values of x in 3x − 7 = 11

x	3x − 7	Equals 11?
4	5	no
5	8	no
6	11	yes
7	14	no
8	17	no

Questions

What is x in 3x − 7 = 11?

The solution of 3x − 7 = 11 is x = 6.

How do you solve 3x − 7 = 11?

Add 7 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) − 7 = 11, which is 11.

Solve 3x − 7 = 11

How to work it out

Trying values of x in 3x − 7 = 11

Questions

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