Solve 10x − 7 = 103

The solution of 10x − 7 = 103 is x = 11.

10x - 7 = 103\ \Rightarrow\ x = 11

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The lines y = 10x − 7 and y = 103 meet at x = 11. 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.
$10x - 7 = 103$
2
Add 7 to both sides:
$10x - 7 + 7 = 103 + 7 \ \Rightarrow\ 10x = 110$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{110}{10} \ \Rightarrow\ x = 11$
4
Check: put x = 11 back into the equation.
$10\cdot11 - 7 = 110 - 7 = 103 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 7 = 103\ \Rightarrow\ x = 11 \]
\[ 10x - 7 = 103 \]
\[ 10x - 7 + 7 = 103 + 7 \ \Rightarrow\ 10x = 110 \]
\[ \frac{10x}{10} = \frac{110}{10} \ \Rightarrow\ x = 11 \]
\[ 10\cdot11 - 7 = 110 - 7 = 103 \checkmark \]

Trying values of x in 10x − 7 = 103

x	10x − 7	Equals 103?
9	83	no
10	93	no
11	103	yes
12	113	no
13	123	no

Questions

What is x in 10x − 7 = 103?

The solution of 10x − 7 = 103 is x = 11.

How do you solve 10x − 7 = 103?

Add 7 to both sides to get 10x = 110, then divide both sides by 10 to get x = 11.

How do I check the answer?

Replace x by 11: 10(11) − 7 = 103, which is 103.

Solve 10x − 7 = 103

How to work it out

Trying values of x in 10x − 7 = 103

Questions

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