Solve 4x − 3 = 73

The solution of 4x − 3 = 73 is x = 19.

4x - 3 = 73\ \Rightarrow\ x = 19

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

The lines y = 4x − 3 and y = 73 meet at x = 19. 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.
$4x - 3 = 73$
2
Add 3 to both sides:
$4x - 3 + 3 = 73 + 3 \ \Rightarrow\ 4x = 76$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{76}{4} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$4\cdot19 - 3 = 76 - 3 = 73 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 3 = 73\ \Rightarrow\ x = 19 \]
\[ 4x - 3 = 73 \]
\[ 4x - 3 + 3 = 73 + 3 \ \Rightarrow\ 4x = 76 \]
\[ \frac{4x}{4} = \frac{76}{4} \ \Rightarrow\ x = 19 \]
\[ 4\cdot19 - 3 = 76 - 3 = 73 \checkmark \]

Trying values of x in 4x − 3 = 73

x	4x − 3	Equals 73?
17	65	no
18	69	no
19	73	yes
20	77	no
21	81	no

Questions

What is x in 4x − 3 = 73?

The solution of 4x − 3 = 73 is x = 19.

How do you solve 4x − 3 = 73?

Add 3 to both sides to get 4x = 76, then divide both sides by 4 to get x = 19.

How do I check the answer?

Replace x by 19: 4(19) − 3 = 73, which is 73.

Solve 4x − 3 = 73

How to work it out

Trying values of x in 4x − 3 = 73

Questions

Similar equations