Solve 3x − 11 = 25

The solution of 3x − 11 = 25 is x = 12.

3x - 11 = 25\ \Rightarrow\ x = 12

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The lines y = 3x − 11 and y = 25 meet at x = 12. 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.
$3x - 11 = 25$
2
Add 11 to both sides:
$3x - 11 + 11 = 25 + 11 \ \Rightarrow\ 3x = 36$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{36}{3} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$3\cdot12 - 11 = 36 - 11 = 25 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 11 = 25\ \Rightarrow\ x = 12 \]
\[ 3x - 11 = 25 \]
\[ 3x - 11 + 11 = 25 + 11 \ \Rightarrow\ 3x = 36 \]
\[ \frac{3x}{3} = \frac{36}{3} \ \Rightarrow\ x = 12 \]
\[ 3\cdot12 - 11 = 36 - 11 = 25 \checkmark \]

Trying values of x in 3x − 11 = 25

x	3x − 11	Equals 25?
10	19	no
11	22	no
12	25	yes
13	28	no
14	31	no

Questions

What is x in 3x − 11 = 25?

The solution of 3x − 11 = 25 is x = 12.

How do you solve 3x − 11 = 25?

Add 11 to both sides to get 3x = 36, then divide both sides by 3 to get x = 12.

How do I check the answer?

Replace x by 12: 3(12) − 11 = 25, which is 25.

Solve 3x − 11 = 25

How to work it out

Trying values of x in 3x − 11 = 25

Questions

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