Solve 12x − 1 = 83

The solution of 12x − 1 = 83 is x = 7.

12x - 1 = 83\ \Rightarrow\ x = 7

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The lines y = 12x − 1 and y = 83 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.
$12x - 1 = 83$
2
Add 1 to both sides:
$12x - 1 + 1 = 83 + 1 \ \Rightarrow\ 12x = 84$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{84}{12} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$12\cdot7 - 1 = 84 - 1 = 83 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 1 = 83\ \Rightarrow\ x = 7 \]
\[ 12x - 1 = 83 \]
\[ 12x - 1 + 1 = 83 + 1 \ \Rightarrow\ 12x = 84 \]
\[ \frac{12x}{12} = \frac{84}{12} \ \Rightarrow\ x = 7 \]
\[ 12\cdot7 - 1 = 84 - 1 = 83 \checkmark \]

Trying values of x in 12x − 1 = 83

x	12x − 1	Equals 83?
5	59	no
6	71	no
7	83	yes
8	95	no
9	107	no

Questions

What is x in 12x − 1 = 83?

The solution of 12x − 1 = 83 is x = 7.

How do you solve 12x − 1 = 83?

Add 1 to both sides to get 12x = 84, then divide both sides by 12 to get x = 7.

How do I check the answer?

Replace x by 7: 12(7) − 1 = 83, which is 83.

Solve 12x − 1 = 83

How to work it out

Trying values of x in 12x − 1 = 83

Questions

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