Solve 12x − 3 = 165

The solution of 12x − 3 = 165 is x = 14.

12x - 3 = 165\ \Rightarrow\ x = 14

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The lines y = 12x − 3 and y = 165 meet at x = 14. 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.
$12x - 3 = 165$
2
Add 3 to both sides:
$12x - 3 + 3 = 165 + 3 \ \Rightarrow\ 12x = 168$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{168}{12} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$12\cdot14 - 3 = 168 - 3 = 165 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 3 = 165\ \Rightarrow\ x = 14 \]
\[ 12x - 3 = 165 \]
\[ 12x - 3 + 3 = 165 + 3 \ \Rightarrow\ 12x = 168 \]
\[ \frac{12x}{12} = \frac{168}{12} \ \Rightarrow\ x = 14 \]
\[ 12\cdot14 - 3 = 168 - 3 = 165 \checkmark \]

Trying values of x in 12x − 3 = 165

x	12x − 3	Equals 165?
12	141	no
13	153	no
14	165	yes
15	177	no
16	189	no

Questions

What is x in 12x − 3 = 165?

The solution of 12x − 3 = 165 is x = 14.

How do you solve 12x − 3 = 165?

Add 3 to both sides to get 12x = 168, then divide both sides by 12 to get x = 14.

How do I check the answer?

Replace x by 14: 12(14) − 3 = 165, which is 165.

Solve 12x − 3 = 165

How to work it out

Trying values of x in 12x − 3 = 165

Questions

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