Solve 12x − 1 = 95

The solution of 12x − 1 = 95 is x = 8.

12x - 1 = 95\ \Rightarrow\ x = 8

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The lines y = 12x − 1 and y = 95 meet at x = 8. 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.
$12x - 1 = 95$
2
Add 1 to both sides:
$12x - 1 + 1 = 95 + 1 \ \Rightarrow\ 12x = 96$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$12\cdot8 - 1 = 96 - 1 = 95 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 1 = 95\ \Rightarrow\ x = 8 \]
\[ 12x - 1 = 95 \]
\[ 12x - 1 + 1 = 95 + 1 \ \Rightarrow\ 12x = 96 \]
\[ \frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8 \]
\[ 12\cdot8 - 1 = 96 - 1 = 95 \checkmark \]

Trying values of x in 12x − 1 = 95

x	12x − 1	Equals 95?
6	71	no
7	83	no
8	95	yes
9	107	no
10	119	no

Questions

What is x in 12x − 1 = 95?

The solution of 12x − 1 = 95 is x = 8.

How do you solve 12x − 1 = 95?

Add 1 to both sides to get 12x = 96, then divide both sides by 12 to get x = 8.

How do I check the answer?

Replace x by 8: 12(8) − 1 = 95, which is 95.

Solve 12x − 1 = 95

How to work it out

Trying values of x in 12x − 1 = 95

Questions

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