Solve 12x − 6 = 186

The solution of 12x − 6 = 186 is x = 16.

12x - 6 = 186\ \Rightarrow\ x = 16

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The lines y = 12x − 6 and y = 186 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.
$12x - 6 = 186$
2
Add 6 to both sides:
$12x - 6 + 6 = 186 + 6 \ \Rightarrow\ 12x = 192$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{192}{12} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$12\cdot16 - 6 = 192 - 6 = 186 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 6 = 186\ \Rightarrow\ x = 16 \]
\[ 12x - 6 = 186 \]
\[ 12x - 6 + 6 = 186 + 6 \ \Rightarrow\ 12x = 192 \]
\[ \frac{12x}{12} = \frac{192}{12} \ \Rightarrow\ x = 16 \]
\[ 12\cdot16 - 6 = 192 - 6 = 186 \checkmark \]

Trying values of x in 12x − 6 = 186

x	12x − 6	Equals 186?
14	162	no
15	174	no
16	186	yes
17	198	no
18	210	no

Questions

What is x in 12x − 6 = 186?

The solution of 12x − 6 = 186 is x = 16.

How do you solve 12x − 6 = 186?

Add 6 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) − 6 = 186, which is 186.

Solve 12x − 6 = 186

How to work it out

Trying values of x in 12x − 6 = 186

Questions

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