Solve 12x − 5 = 187

The solution of 12x − 5 = 187 is x = 16.

12x - 5 = 187\ \Rightarrow\ x = 16

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The lines y = 12x − 5 and y = 187 meet at x = 16. 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.
$12x - 5 = 187$
2
Add 5 to both sides:
$12x - 5 + 5 = 187 + 5 \ \Rightarrow\ 12x = 192$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{192}{12} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$12\cdot16 - 5 = 192 - 5 = 187 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 5 = 187\ \Rightarrow\ x = 16 \]
\[ 12x - 5 = 187 \]
\[ 12x - 5 + 5 = 187 + 5 \ \Rightarrow\ 12x = 192 \]
\[ \frac{12x}{12} = \frac{192}{12} \ \Rightarrow\ x = 16 \]
\[ 12\cdot16 - 5 = 192 - 5 = 187 \checkmark \]

Trying values of x in 12x − 5 = 187

x	12x − 5	Equals 187?
14	163	no
15	175	no
16	187	yes
17	199	no
18	211	no

Questions

What is x in 12x − 5 = 187?

The solution of 12x − 5 = 187 is x = 16.

How do you solve 12x − 5 = 187?

Add 5 to both sides to get 12x = 192, then divide both sides by 12 to get x = 16.

How do I check the answer?

Replace x by 16: 12(16) − 5 = 187, which is 187.

Solve 12x − 5 = 187

How to work it out

Trying values of x in 12x − 5 = 187

Questions

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