Solve 5x − 12 = 83

The solution of 5x − 12 = 83 is x = 19.

5x - 12 = 83\ \Rightarrow\ x = 19

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The lines y = 5x − 12 and y = 83 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.
$5x - 12 = 83$
2
Add 12 to both sides:
$5x - 12 + 12 = 83 + 12 \ \Rightarrow\ 5x = 95$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{95}{5} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$5\cdot19 - 12 = 95 - 12 = 83 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 12 = 83\ \Rightarrow\ x = 19 \]
\[ 5x - 12 = 83 \]
\[ 5x - 12 + 12 = 83 + 12 \ \Rightarrow\ 5x = 95 \]
\[ \frac{5x}{5} = \frac{95}{5} \ \Rightarrow\ x = 19 \]
\[ 5\cdot19 - 12 = 95 - 12 = 83 \checkmark \]

Trying values of x in 5x − 12 = 83

x	5x − 12	Equals 83?
17	73	no
18	78	no
19	83	yes
20	88	no
21	93	no

Questions

What is x in 5x − 12 = 83?

The solution of 5x − 12 = 83 is x = 19.

How do you solve 5x − 12 = 83?

Add 12 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) − 12 = 83, which is 83.

Solve 5x − 12 = 83

How to work it out

Trying values of x in 5x − 12 = 83

Questions

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