Solve 5x − 3 = 32

The solution of 5x − 3 = 32 is x = 7.

5x - 3 = 32\ \Rightarrow\ x = 7

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

The lines y = 5x − 3 and y = 32 meet at x = 7. 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.
$5x - 3 = 32$
2
Add 3 to both sides:
$5x - 3 + 3 = 32 + 3 \ \Rightarrow\ 5x = 35$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{35}{5} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$5\cdot7 - 3 = 35 - 3 = 32 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 3 = 32\ \Rightarrow\ x = 7 \]
\[ 5x - 3 = 32 \]
\[ 5x - 3 + 3 = 32 + 3 \ \Rightarrow\ 5x = 35 \]
\[ \frac{5x}{5} = \frac{35}{5} \ \Rightarrow\ x = 7 \]
\[ 5\cdot7 - 3 = 35 - 3 = 32 \checkmark \]

Trying values of x in 5x − 3 = 32

x	5x − 3	Equals 32?
5	22	no
6	27	no
7	32	yes
8	37	no
9	42	no

Questions

What is x in 5x − 3 = 32?

The solution of 5x − 3 = 32 is x = 7.

How do you solve 5x − 3 = 32?

Add 3 to both sides to get 5x = 35, then divide both sides by 5 to get x = 7.

How do I check the answer?

Replace x by 7: 5(7) − 3 = 32, which is 32.

Solve 5x − 3 = 32

How to work it out

Trying values of x in 5x − 3 = 32

Questions

Similar equations