Solve 4x − 5 = 3

The solution of 4x − 5 = 3 is x = 2.

4x - 5 = 3\ \Rightarrow\ x = 2

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

The lines y = 4x − 5 and y = 3 meet at x = 2. 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.
$4x - 5 = 3$
2
Add 5 to both sides:
$4x - 5 + 5 = 3 + 5 \ \Rightarrow\ 4x = 8$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{8}{4} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$4\cdot2 - 5 = 8 - 5 = 3 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 5 = 3\ \Rightarrow\ x = 2 \]
\[ 4x - 5 = 3 \]
\[ 4x - 5 + 5 = 3 + 5 \ \Rightarrow\ 4x = 8 \]
\[ \frac{4x}{4} = \frac{8}{4} \ \Rightarrow\ x = 2 \]
\[ 4\cdot2 - 5 = 8 - 5 = 3 \checkmark \]

Trying values of x in 4x − 5 = 3

x	4x − 5	Equals 3?
0	-5	no
1	-1	no
2	3	yes
3	7	no
4	11	no

Questions

What is x in 4x − 5 = 3?

The solution of 4x − 5 = 3 is x = 2.

How do you solve 4x − 5 = 3?

Add 5 to both sides to get 4x = 8, then divide both sides by 4 to get x = 2.

How do I check the answer?

Replace x by 2: 4(2) − 5 = 3, which is 3.

Solve 4x − 5 = 3

How to work it out

Trying values of x in 4x − 5 = 3

Questions

Similar equations