Solve 5x − 3 = 92

The solution of 5x − 3 = 92 is x = 19.

5x - 3 = 92\ \Rightarrow\ x = 19

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The lines y = 5x − 3 and y = 92 meet at x = 19. 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.
$5x - 3 = 92$
2
Add 3 to both sides:
$5x - 3 + 3 = 92 + 3 \ \Rightarrow\ 5x = 95$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{95}{5} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$5\cdot19 - 3 = 95 - 3 = 92 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 3 = 92\ \Rightarrow\ x = 19 \]
\[ 5x - 3 = 92 \]
\[ 5x - 3 + 3 = 92 + 3 \ \Rightarrow\ 5x = 95 \]
\[ \frac{5x}{5} = \frac{95}{5} \ \Rightarrow\ x = 19 \]
\[ 5\cdot19 - 3 = 95 - 3 = 92 \checkmark \]

Trying values of x in 5x − 3 = 92

x	5x − 3	Equals 92?
17	82	no
18	87	no
19	92	yes
20	97	no
21	102	no

Questions

What is x in 5x − 3 = 92?

The solution of 5x − 3 = 92 is x = 19.

How do you solve 5x − 3 = 92?

Add 3 to both sides to get 5x = 95, then divide both sides by 5 to get x = 19.

How do I check the answer?

Replace x by 19: 5(19) − 3 = 92, which is 92.

Solve 5x − 3 = 92

How to work it out

Trying values of x in 5x − 3 = 92

Questions

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