Solve 10x − 2 = 198

The solution of 10x − 2 = 198 is x = 20.

10x - 2 = 198\ \Rightarrow\ x = 20

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The lines y = 10x − 2 and y = 198 meet at x = 20. 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.
$10x - 2 = 198$
2
Add 2 to both sides:
$10x - 2 + 2 = 198 + 2 \ \Rightarrow\ 10x = 200$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20$
4
Check: put x = 20 back into the equation.
$10\cdot20 - 2 = 200 - 2 = 198 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 2 = 198\ \Rightarrow\ x = 20 \]
\[ 10x - 2 = 198 \]
\[ 10x - 2 + 2 = 198 + 2 \ \Rightarrow\ 10x = 200 \]
\[ \frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20 \]
\[ 10\cdot20 - 2 = 200 - 2 = 198 \checkmark \]

Trying values of x in 10x − 2 = 198

x	10x − 2	Equals 198?
18	178	no
19	188	no
20	198	yes
21	208	no
22	218	no

Questions

What is x in 10x − 2 = 198?

The solution of 10x − 2 = 198 is x = 20.

How do you solve 10x − 2 = 198?

Add 2 to both sides to get 10x = 200, then divide both sides by 10 to get x = 20.

How do I check the answer?

Replace x by 20: 10(20) − 2 = 198, which is 198.

Solve 10x − 2 = 198

How to work it out

Trying values of x in 10x − 2 = 198

Questions

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