Solve 5x − 3 = 47

The solution of 5x − 3 = 47 is x = 10.

5x - 3 = 47\ \Rightarrow\ x = 10

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The lines y = 5x − 3 and y = 47 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.
$5x - 3 = 47$
2
Add 3 to both sides:
$5x - 3 + 3 = 47 + 3 \ \Rightarrow\ 5x = 50$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{50}{5} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$5\cdot10 - 3 = 50 - 3 = 47 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 3 = 47\ \Rightarrow\ x = 10 \]
\[ 5x - 3 = 47 \]
\[ 5x - 3 + 3 = 47 + 3 \ \Rightarrow\ 5x = 50 \]
\[ \frac{5x}{5} = \frac{50}{5} \ \Rightarrow\ x = 10 \]
\[ 5\cdot10 - 3 = 50 - 3 = 47 \checkmark \]

Trying values of x in 5x − 3 = 47

x	5x − 3	Equals 47?
8	37	no
9	42	no
10	47	yes
11	52	no
12	57	no

Questions

What is x in 5x − 3 = 47?

The solution of 5x − 3 = 47 is x = 10.

How do you solve 5x − 3 = 47?

Add 3 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) − 3 = 47, which is 47.

Solve 5x − 3 = 47

How to work it out

Trying values of x in 5x − 3 = 47

Questions

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