Solve 10x − 13 = −103

The solution of 10x − 13 = −103 is x = -9.

10x - 13 = -103\ \Rightarrow\ x = -9

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The lines y = 10x − 13 and y = -103 meet at x = -9. 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.
$10x - 13 = -103$
2
Add 13 to both sides:
$10x - 13 + 13 = -103 + 13 \ \Rightarrow\ 10x = -90$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-90}{10} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$10\cdot(-9) - 13 = -90 - 13 = -103 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 13 = -103\ \Rightarrow\ x = -9 \]
\[ 10x - 13 = -103 \]
\[ 10x - 13 + 13 = -103 + 13 \ \Rightarrow\ 10x = -90 \]
\[ \frac{10x}{10} = \frac{-90}{10} \ \Rightarrow\ x = -9 \]
\[ 10\cdot(-9) - 13 = -90 - 13 = -103 \checkmark \]

Trying values of x in 10x − 13 = −103

x	10x − 13	Equals -103?
-11	-123	no
-10	-113	no
-9	-103	yes
-8	-93	no
-7	-83	no

Questions

What is x in 10x − 13 = −103?

The solution of 10x − 13 = −103 is x = -9.

How do you solve 10x − 13 = −103?

Add 13 to both sides to get 10x = -90, then divide both sides by 10 to get x = -9.

How do I check the answer?

Replace x by -9: 10(-9) − 13 = -103, which is -103.

Solve 10x − 13 = −103

How to work it out

Trying values of x in 10x − 13 = −103

Questions

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