Solve 10x − 13 = −3

The solution of 10x − 13 = −3 is x = 1.

10x - 13 = -3\ \Rightarrow\ x = 1

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The lines y = 10x − 13 and y = -3 meet at x = 1. 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.
$10x - 13 = -3$
2
Add 13 to both sides:
$10x - 13 + 13 = -3 + 13 \ \Rightarrow\ 10x = 10$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{10}{10} \ \Rightarrow\ x = 1$
4
Check: put x = 1 back into the equation.
$10\cdot1 - 13 = 10 - 13 = -3 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 13 = -3\ \Rightarrow\ x = 1 \]
\[ 10x - 13 = -3 \]
\[ 10x - 13 + 13 = -3 + 13 \ \Rightarrow\ 10x = 10 \]
\[ \frac{10x}{10} = \frac{10}{10} \ \Rightarrow\ x = 1 \]
\[ 10\cdot1 - 13 = 10 - 13 = -3 \checkmark \]

Trying values of x in 10x − 13 = −3

x	10x − 13	Equals -3?
-1	-23	no
0	-13	no
1	-3	yes
2	7	no
3	17	no

Questions

What is x in 10x − 13 = −3?

The solution of 10x − 13 = −3 is x = 1.

How do you solve 10x − 13 = −3?

Add 13 to both sides to get 10x = 10, then divide both sides by 10 to get x = 1.

How do I check the answer?

Replace x by 1: 10(1) − 13 = -3, which is -3.

Solve 10x − 13 = −3

How to work it out

Trying values of x in 10x − 13 = −3

Questions

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