Solve 3x − 4 = 53

The solution of 3x − 4 = 53 is x = 19.

3x - 4 = 53\ \Rightarrow\ x = 19

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

The lines y = 3x − 4 and y = 53 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.
$3x - 4 = 53$
2
Add 4 to both sides:
$3x - 4 + 4 = 53 + 4 \ \Rightarrow\ 3x = 57$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{57}{3} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$3\cdot19 - 4 = 57 - 4 = 53 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 4 = 53\ \Rightarrow\ x = 19 \]
\[ 3x - 4 = 53 \]
\[ 3x - 4 + 4 = 53 + 4 \ \Rightarrow\ 3x = 57 \]
\[ \frac{3x}{3} = \frac{57}{3} \ \Rightarrow\ x = 19 \]
\[ 3\cdot19 - 4 = 57 - 4 = 53 \checkmark \]

Trying values of x in 3x − 4 = 53

x	3x − 4	Equals 53?
17	47	no
18	50	no
19	53	yes
20	56	no
21	59	no

Questions

What is x in 3x − 4 = 53?

The solution of 3x − 4 = 53 is x = 19.

How do you solve 3x − 4 = 53?

Add 4 to both sides to get 3x = 57, then divide both sides by 3 to get x = 19.

How do I check the answer?

Replace x by 19: 3(19) − 4 = 53, which is 53.

Solve 3x − 4 = 53

How to work it out

Trying values of x in 3x − 4 = 53

Questions

Similar equations