Solve 10x − 7 = 193

The solution of 10x − 7 = 193 is x = 20.

10x - 7 = 193\ \Rightarrow\ x = 20

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The lines y = 10x − 7 and y = 193 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.
$10x - 7 = 193$
2
Add 7 to both sides:
$10x - 7 + 7 = 193 + 7 \ \Rightarrow\ 10x = 200$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20$
4
Check: put x = 20 back into the equation.
$10\cdot20 - 7 = 200 - 7 = 193 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 7 = 193\ \Rightarrow\ x = 20 \]
\[ 10x - 7 = 193 \]
\[ 10x - 7 + 7 = 193 + 7 \ \Rightarrow\ 10x = 200 \]
\[ \frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20 \]
\[ 10\cdot20 - 7 = 200 - 7 = 193 \checkmark \]

Trying values of x in 10x − 7 = 193

x	10x − 7	Equals 193?
18	173	no
19	183	no
20	193	yes
21	203	no
22	213	no

Questions

What is x in 10x − 7 = 193?

The solution of 10x − 7 = 193 is x = 20.

How do you solve 10x − 7 = 193?

Add 7 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) − 7 = 193, which is 193.

Solve 10x − 7 = 193

How to work it out

Trying values of x in 10x − 7 = 193

Questions

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