Solve 5x − 14 = 6

The solution of 5x − 14 = 6 is x = 4.

5x - 14 = 6\ \Rightarrow\ x = 4

Explain it step by step in chat Make a short video of it

The lines y = 5x − 14 and y = 6 meet at x = 4. 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.
$5x - 14 = 6$
2
Add 14 to both sides:
$5x - 14 + 14 = 6 + 14 \ \Rightarrow\ 5x = 20$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{20}{5} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$5\cdot4 - 14 = 20 - 14 = 6 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 14 = 6\ \Rightarrow\ x = 4 \]
\[ 5x - 14 = 6 \]
\[ 5x - 14 + 14 = 6 + 14 \ \Rightarrow\ 5x = 20 \]
\[ \frac{5x}{5} = \frac{20}{5} \ \Rightarrow\ x = 4 \]
\[ 5\cdot4 - 14 = 20 - 14 = 6 \checkmark \]

Trying values of x in 5x − 14 = 6

x	5x − 14	Equals 6?
2	-4	no
3	1	no
4	6	yes
5	11	no
6	16	no

Questions

What is x in 5x − 14 = 6?

The solution of 5x − 14 = 6 is x = 4.

How do you solve 5x − 14 = 6?

Add 14 to both sides to get 5x = 20, then divide both sides by 5 to get x = 4.

How do I check the answer?

Replace x by 4: 5(4) − 14 = 6, which is 6.

Solve 5x − 14 = 6

How to work it out

Trying values of x in 5x − 14 = 6

Questions

Similar equations