Solve 12x − 7 = 137

The solution of 12x − 7 = 137 is x = 12.

12x - 7 = 137\ \Rightarrow\ x = 12

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The lines y = 12x − 7 and y = 137 meet at x = 12. 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.
$12x - 7 = 137$
2
Add 7 to both sides:
$12x - 7 + 7 = 137 + 7 \ \Rightarrow\ 12x = 144$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{144}{12} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$12\cdot12 - 7 = 144 - 7 = 137 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 7 = 137\ \Rightarrow\ x = 12 \]
\[ 12x - 7 = 137 \]
\[ 12x - 7 + 7 = 137 + 7 \ \Rightarrow\ 12x = 144 \]
\[ \frac{12x}{12} = \frac{144}{12} \ \Rightarrow\ x = 12 \]
\[ 12\cdot12 - 7 = 144 - 7 = 137 \checkmark \]

Trying values of x in 12x − 7 = 137

x	12x − 7	Equals 137?
10	113	no
11	125	no
12	137	yes
13	149	no
14	161	no

Questions

What is x in 12x − 7 = 137?

The solution of 12x − 7 = 137 is x = 12.

How do you solve 12x − 7 = 137?

Add 7 to both sides to get 12x = 144, then divide both sides by 12 to get x = 12.

How do I check the answer?

Replace x by 12: 12(12) − 7 = 137, which is 137.

Solve 12x − 7 = 137

How to work it out

Trying values of x in 12x − 7 = 137

Questions

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