Solve 12x − 7 = 89

The solution of 12x − 7 = 89 is x = 8.

12x - 7 = 89\ \Rightarrow\ x = 8

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The lines y = 12x − 7 and y = 89 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.
$12x - 7 = 89$
2
Add 7 to both sides:
$12x - 7 + 7 = 89 + 7 \ \Rightarrow\ 12x = 96$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$12\cdot8 - 7 = 96 - 7 = 89 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 7 = 89\ \Rightarrow\ x = 8 \]
\[ 12x - 7 = 89 \]
\[ 12x - 7 + 7 = 89 + 7 \ \Rightarrow\ 12x = 96 \]
\[ \frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8 \]
\[ 12\cdot8 - 7 = 96 - 7 = 89 \checkmark \]

Trying values of x in 12x − 7 = 89

x	12x − 7	Equals 89?
6	65	no
7	77	no
8	89	yes
9	101	no
10	113	no

Questions

What is x in 12x − 7 = 89?

The solution of 12x − 7 = 89 is x = 8.

How do you solve 12x − 7 = 89?

Add 7 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) − 7 = 89, which is 89.

Solve 12x − 7 = 89

How to work it out

Trying values of x in 12x − 7 = 89

Questions

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