Solve 2x − 13 = −9

The solution of 2x − 13 = −9 is x = 2.

2x - 13 = -9\ \Rightarrow\ x = 2

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The lines y = 2x − 13 and y = -9 meet at x = 2. 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.
$2x - 13 = -9$
2
Add 13 to both sides:
$2x - 13 + 13 = -9 + 13 \ \Rightarrow\ 2x = 4$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{4}{2} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$2\cdot2 - 13 = 4 - 13 = -9 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 13 = -9\ \Rightarrow\ x = 2 \]
\[ 2x - 13 = -9 \]
\[ 2x - 13 + 13 = -9 + 13 \ \Rightarrow\ 2x = 4 \]
\[ \frac{2x}{2} = \frac{4}{2} \ \Rightarrow\ x = 2 \]
\[ 2\cdot2 - 13 = 4 - 13 = -9 \checkmark \]

Trying values of x in 2x − 13 = −9

x	2x − 13	Equals -9?
0	-13	no
1	-11	no
2	-9	yes
3	-7	no
4	-5	no

Questions

What is x in 2x − 13 = −9?

The solution of 2x − 13 = −9 is x = 2.

How do you solve 2x − 13 = −9?

Add 13 to both sides to get 2x = 4, then divide both sides by 2 to get x = 2.

How do I check the answer?

Replace x by 2: 2(2) − 13 = -9, which is -9.

Solve 2x − 13 = −9

How to work it out

Trying values of x in 2x − 13 = −9

Questions

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