Solve 7x + 13 = −1

The solution of 7x + 13 = −1 is x = -2.

7x + 13 = -1\ \Rightarrow\ x = -2

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The lines y = 7x + 13 and y = -1 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 addition, then the multiplication.
$7x + 13 = -1$
2
Subtract 13 from both sides:
$7x + 13 - 13 = -1 - 13 \ \Rightarrow\ 7x = -14$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-14}{7} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$7\cdot(-2) + 13 = -14 + 13 = -1 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 13 = -1\ \Rightarrow\ x = -2 \]
\[ 7x + 13 = -1 \]
\[ 7x + 13 - 13 = -1 - 13 \ \Rightarrow\ 7x = -14 \]
\[ \frac{7x}{7} = \frac{-14}{7} \ \Rightarrow\ x = -2 \]
\[ 7\cdot(-2) + 13 = -14 + 13 = -1 \checkmark \]

Trying values of x in 7x + 13 = −1

x	7x + 13	Equals -1?
-4	-15	no
-3	-8	no
-2	-1	yes
-1	6	no
0	13	no

Questions

What is x in 7x + 13 = −1?

The solution of 7x + 13 = −1 is x = -2.

How do you solve 7x + 13 = −1?

Subtract 13 from 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 = -1, which is -1.

Solve 7x + 13 = −1

How to work it out

Trying values of x in 7x + 13 = −1

Questions

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