Solve 5x − 2 = 83

The solution of 5x − 2 = 83 is x = 17.

5x - 2 = 83\ \Rightarrow\ x = 17

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

The lines y = 5x − 2 and y = 83 meet at x = 17. 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.
$5x - 2 = 83$
2
Add 2 to both sides:
$5x - 2 + 2 = 83 + 2 \ \Rightarrow\ 5x = 85$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{85}{5} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$5\cdot17 - 2 = 85 - 2 = 83 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 2 = 83\ \Rightarrow\ x = 17 \]
\[ 5x - 2 = 83 \]
\[ 5x - 2 + 2 = 83 + 2 \ \Rightarrow\ 5x = 85 \]
\[ \frac{5x}{5} = \frac{85}{5} \ \Rightarrow\ x = 17 \]
\[ 5\cdot17 - 2 = 85 - 2 = 83 \checkmark \]

Trying values of x in 5x − 2 = 83

x	5x − 2	Equals 83?
15	73	no
16	78	no
17	83	yes
18	88	no
19	93	no

Questions

What is x in 5x − 2 = 83?

The solution of 5x − 2 = 83 is x = 17.

How do you solve 5x − 2 = 83?

Add 2 to both sides to get 5x = 85, then divide both sides by 5 to get x = 17.

How do I check the answer?

Replace x by 17: 5(17) − 2 = 83, which is 83.

Solve 5x − 2 = 83

How to work it out

Trying values of x in 5x − 2 = 83

Questions

Similar equations