Solve 5x − 4 = 46

The solution of 5x − 4 = 46 is x = 10.

5x - 4 = 46\ \Rightarrow\ x = 10

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

The lines y = 5x − 4 and y = 46 meet at x = 10. 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.
$5x - 4 = 46$
2
Add 4 to both sides:
$5x - 4 + 4 = 46 + 4 \ \Rightarrow\ 5x = 50$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{50}{5} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$5\cdot10 - 4 = 50 - 4 = 46 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 4 = 46\ \Rightarrow\ x = 10 \]
\[ 5x - 4 = 46 \]
\[ 5x - 4 + 4 = 46 + 4 \ \Rightarrow\ 5x = 50 \]
\[ \frac{5x}{5} = \frac{50}{5} \ \Rightarrow\ x = 10 \]
\[ 5\cdot10 - 4 = 50 - 4 = 46 \checkmark \]

Trying values of x in 5x − 4 = 46

x	5x − 4	Equals 46?
8	36	no
9	41	no
10	46	yes
11	51	no
12	56	no

Questions

What is x in 5x − 4 = 46?

The solution of 5x − 4 = 46 is x = 10.

How do you solve 5x − 4 = 46?

Add 4 to both sides to get 5x = 50, then divide both sides by 5 to get x = 10.

How do I check the answer?

Replace x by 10: 5(10) − 4 = 46, which is 46.

Solve 5x − 4 = 46

How to work it out

Trying values of x in 5x − 4 = 46

Questions

Similar equations