Solve 10x − 3 = −103

The solution of 10x − 3 = −103 is x = -10.

10x - 3 = -103\ \Rightarrow\ x = -10

Explain it step by step in chat Make a short video of it

The lines y = 10x − 3 and y = -103 meet at x = -10. 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.
$10x - 3 = -103$
2
Add 3 to both sides:
$10x - 3 + 3 = -103 + 3 \ \Rightarrow\ 10x = -100$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-100}{10} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$10\cdot(-10) - 3 = -100 - 3 = -103 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 3 = -103\ \Rightarrow\ x = -10 \]
\[ 10x - 3 = -103 \]
\[ 10x - 3 + 3 = -103 + 3 \ \Rightarrow\ 10x = -100 \]
\[ \frac{10x}{10} = \frac{-100}{10} \ \Rightarrow\ x = -10 \]
\[ 10\cdot(-10) - 3 = -100 - 3 = -103 \checkmark \]

Trying values of x in 10x − 3 = −103

x	10x − 3	Equals -103?
-12	-123	no
-11	-113	no
-10	-103	yes
-9	-93	no
-8	-83	no

Questions

What is x in 10x − 3 = −103?

The solution of 10x − 3 = −103 is x = -10.

How do you solve 10x − 3 = −103?

Add 3 to both sides to get 10x = -100, then divide both sides by 10 to get x = -10.

How do I check the answer?

Replace x by -10: 10(-10) − 3 = -103, which is -103.

Solve 10x − 3 = −103

How to work it out

Trying values of x in 10x − 3 = −103

Questions

Similar equations