Solve 7x − 13 = −27

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

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

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

LaTeX source of the formulas on this page

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

Trying values of x in 7x − 13 = −27

x	7x − 13	Equals -27?
-4	-41	no
-3	-34	no
-2	-27	yes
-1	-20	no
0	-13	no

Questions

What is x in 7x − 13 = −27?

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

How do you solve 7x − 13 = −27?

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

How do I check the answer?

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

Solve 7x − 13 = −27

How to work it out

Trying values of x in 7x − 13 = −27

Questions

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