Solve 2x − 13 = −7

The solution of 2x − 13 = −7 is x = 3.

2x - 13 = -7\ \Rightarrow\ x = 3

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The lines y = 2x − 13 and y = -7 meet at x = 3. 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.
$2x - 13 = -7$
2
Add 13 to both sides:
$2x - 13 + 13 = -7 + 13 \ \Rightarrow\ 2x = 6$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{6}{2} \ \Rightarrow\ x = 3$
4
Check: put x = 3 back into the equation.
$2\cdot3 - 13 = 6 - 13 = -7 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 13 = -7\ \Rightarrow\ x = 3 \]
\[ 2x - 13 = -7 \]
\[ 2x - 13 + 13 = -7 + 13 \ \Rightarrow\ 2x = 6 \]
\[ \frac{2x}{2} = \frac{6}{2} \ \Rightarrow\ x = 3 \]
\[ 2\cdot3 - 13 = 6 - 13 = -7 \checkmark \]

Trying values of x in 2x − 13 = −7

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

Questions

What is x in 2x − 13 = −7?

The solution of 2x − 13 = −7 is x = 3.

How do you solve 2x − 13 = −7?

Add 13 to both sides to get 2x = 6, then divide both sides by 2 to get x = 3.

How do I check the answer?

Replace x by 3: 2(3) − 13 = -7, which is -7.

Solve 2x − 13 = −7

How to work it out

Trying values of x in 2x − 13 = −7

Questions

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