Solve 4x − 14 = 10

The solution of 4x − 14 = 10 is x = 6.

4x - 14 = 10\ \Rightarrow\ x = 6

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

The lines y = 4x − 14 and y = 10 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.
$4x - 14 = 10$
2
Add 14 to both sides:
$4x - 14 + 14 = 10 + 14 \ \Rightarrow\ 4x = 24$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{24}{4} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$4\cdot6 - 14 = 24 - 14 = 10 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 14 = 10\ \Rightarrow\ x = 6 \]
\[ 4x - 14 = 10 \]
\[ 4x - 14 + 14 = 10 + 14 \ \Rightarrow\ 4x = 24 \]
\[ \frac{4x}{4} = \frac{24}{4} \ \Rightarrow\ x = 6 \]
\[ 4\cdot6 - 14 = 24 - 14 = 10 \checkmark \]

Trying values of x in 4x − 14 = 10

x	4x − 14	Equals 10?
4	2	no
5	6	no
6	10	yes
7	14	no
8	18	no

Questions

What is x in 4x − 14 = 10?

The solution of 4x − 14 = 10 is x = 6.

How do you solve 4x − 14 = 10?

Add 14 to both sides to get 4x = 24, then divide both sides by 4 to get x = 6.

How do I check the answer?

Replace x by 6: 4(6) − 14 = 10, which is 10.

Solve 4x − 14 = 10

How to work it out

Trying values of x in 4x − 14 = 10

Questions

Similar equations