Solve 10x − 13 = −23

The solution of 10x − 13 = −23 is x = -1.

10x - 13 = -23\ \Rightarrow\ x = -1

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The lines y = 10x − 13 and y = -23 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.
$10x - 13 = -23$
2
Add 13 to both sides:
$10x - 13 + 13 = -23 + 13 \ \Rightarrow\ 10x = -10$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-10}{10} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$10\cdot(-1) - 13 = -10 - 13 = -23 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 13 = -23\ \Rightarrow\ x = -1 \]
\[ 10x - 13 = -23 \]
\[ 10x - 13 + 13 = -23 + 13 \ \Rightarrow\ 10x = -10 \]
\[ \frac{10x}{10} = \frac{-10}{10} \ \Rightarrow\ x = -1 \]
\[ 10\cdot(-1) - 13 = -10 - 13 = -23 \checkmark \]

Trying values of x in 10x − 13 = −23

x	10x − 13	Equals -23?
-3	-43	no
-2	-33	no
-1	-23	yes
0	-13	no
1	-3	no

Questions

What is x in 10x − 13 = −23?

The solution of 10x − 13 = −23 is x = -1.

How do you solve 10x − 13 = −23?

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 = -23, which is -23.

Solve 10x − 13 = −23

How to work it out

Trying values of x in 10x − 13 = −23

Questions

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