Solve 12x − 6 = 198

The solution of 12x − 6 = 198 is x = 17.

12x - 6 = 198\ \Rightarrow\ x = 17

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The lines y = 12x − 6 and y = 198 meet at x = 17. 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.
$12x - 6 = 198$
2
Add 6 to both sides:
$12x - 6 + 6 = 198 + 6 \ \Rightarrow\ 12x = 204$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{204}{12} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$12\cdot17 - 6 = 204 - 6 = 198 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 6 = 198\ \Rightarrow\ x = 17 \]
\[ 12x - 6 = 198 \]
\[ 12x - 6 + 6 = 198 + 6 \ \Rightarrow\ 12x = 204 \]
\[ \frac{12x}{12} = \frac{204}{12} \ \Rightarrow\ x = 17 \]
\[ 12\cdot17 - 6 = 204 - 6 = 198 \checkmark \]

Trying values of x in 12x − 6 = 198

x	12x − 6	Equals 198?
15	174	no
16	186	no
17	198	yes
18	210	no
19	222	no

Questions

What is x in 12x − 6 = 198?

The solution of 12x − 6 = 198 is x = 17.

How do you solve 12x − 6 = 198?

Add 6 to both sides to get 12x = 204, then divide both sides by 12 to get x = 17.

How do I check the answer?

Replace x by 17: 12(17) − 6 = 198, which is 198.

Solve 12x − 6 = 198

How to work it out

Trying values of x in 12x − 6 = 198

Questions

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