Solve 4x − 5 = 35

The solution of 4x − 5 = 35 is x = 10.

4x - 5 = 35\ \Rightarrow\ x = 10

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

The lines y = 4x − 5 and y = 35 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.
$4x - 5 = 35$
2
Add 5 to both sides:
$4x - 5 + 5 = 35 + 5 \ \Rightarrow\ 4x = 40$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{40}{4} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$4\cdot10 - 5 = 40 - 5 = 35 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 5 = 35\ \Rightarrow\ x = 10 \]
\[ 4x - 5 = 35 \]
\[ 4x - 5 + 5 = 35 + 5 \ \Rightarrow\ 4x = 40 \]
\[ \frac{4x}{4} = \frac{40}{4} \ \Rightarrow\ x = 10 \]
\[ 4\cdot10 - 5 = 40 - 5 = 35 \checkmark \]

Trying values of x in 4x − 5 = 35

x	4x − 5	Equals 35?
8	27	no
9	31	no
10	35	yes
11	39	no
12	43	no

Questions

What is x in 4x − 5 = 35?

The solution of 4x − 5 = 35 is x = 10.

How do you solve 4x − 5 = 35?

Add 5 to both sides to get 4x = 40, then divide both sides by 4 to get x = 10.

How do I check the answer?

Replace x by 10: 4(10) − 5 = 35, which is 35.

Solve 4x − 5 = 35

How to work it out

Trying values of x in 4x − 5 = 35

Questions

Similar equations