Solve 4x − 14 = 54

The solution of 4x − 14 = 54 is x = 17.

4x - 14 = 54\ \Rightarrow\ x = 17

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

The lines y = 4x − 14 and y = 54 meet at x = 17. 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.
$4x - 14 = 54$
2
Add 14 to both sides:
$4x - 14 + 14 = 54 + 14 \ \Rightarrow\ 4x = 68$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{68}{4} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$4\cdot17 - 14 = 68 - 14 = 54 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 14 = 54\ \Rightarrow\ x = 17 \]
\[ 4x - 14 = 54 \]
\[ 4x - 14 + 14 = 54 + 14 \ \Rightarrow\ 4x = 68 \]
\[ \frac{4x}{4} = \frac{68}{4} \ \Rightarrow\ x = 17 \]
\[ 4\cdot17 - 14 = 68 - 14 = 54 \checkmark \]

Trying values of x in 4x − 14 = 54

x	4x − 14	Equals 54?
15	46	no
16	50	no
17	54	yes
18	58	no
19	62	no

Questions

What is x in 4x − 14 = 54?

The solution of 4x − 14 = 54 is x = 17.

How do you solve 4x − 14 = 54?

Add 14 to both sides to get 4x = 68, then divide both sides by 4 to get x = 17.

How do I check the answer?

Replace x by 17: 4(17) − 14 = 54, which is 54.

Solve 4x − 14 = 54

How to work it out

Trying values of x in 4x − 14 = 54

Questions

Similar equations