Solve 10x − 7 = 183

The solution of 10x − 7 = 183 is x = 19.

10x - 7 = 183\ \Rightarrow\ x = 19

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The lines y = 10x − 7 and y = 183 meet at x = 19. 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.
$10x - 7 = 183$
2
Add 7 to both sides:
$10x - 7 + 7 = 183 + 7 \ \Rightarrow\ 10x = 190$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{190}{10} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$10\cdot19 - 7 = 190 - 7 = 183 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 7 = 183\ \Rightarrow\ x = 19 \]
\[ 10x - 7 = 183 \]
\[ 10x - 7 + 7 = 183 + 7 \ \Rightarrow\ 10x = 190 \]
\[ \frac{10x}{10} = \frac{190}{10} \ \Rightarrow\ x = 19 \]
\[ 10\cdot19 - 7 = 190 - 7 = 183 \checkmark \]

Trying values of x in 10x − 7 = 183

x	10x − 7	Equals 183?
17	163	no
18	173	no
19	183	yes
20	193	no
21	203	no

Questions

What is x in 10x − 7 = 183?

The solution of 10x − 7 = 183 is x = 19.

How do you solve 10x − 7 = 183?

Add 7 to both sides to get 10x = 190, then divide both sides by 10 to get x = 19.

How do I check the answer?

Replace x by 19: 10(19) − 7 = 183, which is 183.

Solve 10x − 7 = 183

How to work it out

Trying values of x in 10x − 7 = 183

Questions

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