Solve 2x − 13 = −27

The solution of 2x − 13 = −27 is x = -7.

2x - 13 = -27\ \Rightarrow\ x = -7

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The lines y = 2x − 13 and y = -27 meet at x = -7. 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.
$2x - 13 = -27$
2
Add 13 to both sides:
$2x - 13 + 13 = -27 + 13 \ \Rightarrow\ 2x = -14$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-14}{2} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$2\cdot(-7) - 13 = -14 - 13 = -27 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 13 = -27\ \Rightarrow\ x = -7 \]
\[ 2x - 13 = -27 \]
\[ 2x - 13 + 13 = -27 + 13 \ \Rightarrow\ 2x = -14 \]
\[ \frac{2x}{2} = \frac{-14}{2} \ \Rightarrow\ x = -7 \]
\[ 2\cdot(-7) - 13 = -14 - 13 = -27 \checkmark \]

Trying values of x in 2x − 13 = −27

x	2x − 13	Equals -27?
-9	-31	no
-8	-29	no
-7	-27	yes
-6	-25	no
-5	-23	no

Questions

What is x in 2x − 13 = −27?

The solution of 2x − 13 = −27 is x = -7.

How do you solve 2x − 13 = −27?

Add 13 to both sides to get 2x = -14, then divide both sides by 2 to get x = -7.

How do I check the answer?

Replace x by -7: 2(-7) − 13 = -27, which is -27.

Solve 2x − 13 = −27

How to work it out

Trying values of x in 2x − 13 = −27

Questions

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