Solve 12x − 7 = 113

The solution of 12x − 7 = 113 is x = 10.

12x - 7 = 113\ \Rightarrow\ x = 10

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The lines y = 12x − 7 and y = 113 meet at x = 10. 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.
$12x - 7 = 113$
2
Add 7 to both sides:
$12x - 7 + 7 = 113 + 7 \ \Rightarrow\ 12x = 120$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{120}{12} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$12\cdot10 - 7 = 120 - 7 = 113 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 7 = 113\ \Rightarrow\ x = 10 \]
\[ 12x - 7 = 113 \]
\[ 12x - 7 + 7 = 113 + 7 \ \Rightarrow\ 12x = 120 \]
\[ \frac{12x}{12} = \frac{120}{12} \ \Rightarrow\ x = 10 \]
\[ 12\cdot10 - 7 = 120 - 7 = 113 \checkmark \]

Trying values of x in 12x − 7 = 113

x	12x − 7	Equals 113?
8	89	no
9	101	no
10	113	yes
11	125	no
12	137	no

Questions

What is x in 12x − 7 = 113?

The solution of 12x − 7 = 113 is x = 10.

How do you solve 12x − 7 = 113?

Add 7 to both sides to get 12x = 120, then divide both sides by 12 to get x = 10.

How do I check the answer?

Replace x by 10: 12(10) − 7 = 113, which is 113.

Solve 12x − 7 = 113

How to work it out

Trying values of x in 12x − 7 = 113

Questions

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