Solve 10x − 6 = 194

The solution of 10x − 6 = 194 is x = 20.

10x - 6 = 194\ \Rightarrow\ x = 20

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The lines y = 10x − 6 and y = 194 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.
$10x - 6 = 194$
2
Add 6 to both sides:
$10x - 6 + 6 = 194 + 6 \ \Rightarrow\ 10x = 200$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20$
4
Check: put x = 20 back into the equation.
$10\cdot20 - 6 = 200 - 6 = 194 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 6 = 194\ \Rightarrow\ x = 20 \]
\[ 10x - 6 = 194 \]
\[ 10x - 6 + 6 = 194 + 6 \ \Rightarrow\ 10x = 200 \]
\[ \frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20 \]
\[ 10\cdot20 - 6 = 200 - 6 = 194 \checkmark \]

Trying values of x in 10x − 6 = 194

x	10x − 6	Equals 194?
18	174	no
19	184	no
20	194	yes
21	204	no
22	214	no

Questions

What is x in 10x − 6 = 194?

The solution of 10x − 6 = 194 is x = 20.

How do you solve 10x − 6 = 194?

Add 6 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) − 6 = 194, which is 194.

Solve 10x − 6 = 194

How to work it out

Trying values of x in 10x − 6 = 194

Questions

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