Solve 5x − 1 = 14

The solution of 5x − 1 = 14 is x = 3.

5x - 1 = 14\ \Rightarrow\ x = 3

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The lines y = 5x − 1 and y = 14 meet at x = 3. 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.
$5x - 1 = 14$
2
Add 1 to both sides:
$5x - 1 + 1 = 14 + 1 \ \Rightarrow\ 5x = 15$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{15}{5} \ \Rightarrow\ x = 3$
4
Check: put x = 3 back into the equation.
$5\cdot3 - 1 = 15 - 1 = 14 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 1 = 14\ \Rightarrow\ x = 3 \]
\[ 5x - 1 = 14 \]
\[ 5x - 1 + 1 = 14 + 1 \ \Rightarrow\ 5x = 15 \]
\[ \frac{5x}{5} = \frac{15}{5} \ \Rightarrow\ x = 3 \]
\[ 5\cdot3 - 1 = 15 - 1 = 14 \checkmark \]

Trying values of x in 5x − 1 = 14

x	5x − 1	Equals 14?
1	4	no
2	9	no
3	14	yes
4	19	no
5	24	no

Questions

What is x in 5x − 1 = 14?

The solution of 5x − 1 = 14 is x = 3.

How do you solve 5x − 1 = 14?

Add 1 to both sides to get 5x = 15, then divide both sides by 5 to get x = 3.

How do I check the answer?

Replace x by 3: 5(3) − 1 = 14, which is 14.

Solve 5x − 1 = 14

How to work it out

Trying values of x in 5x − 1 = 14

Questions

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