Solve 7x − 15 = −22

The solution of 7x − 15 = −22 is x = -1.

7x - 15 = -22\ \Rightarrow\ x = -1

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The lines y = 7x − 15 and y = -22 meet at x = -1. 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.
$7x - 15 = -22$
2
Add 15 to both sides:
$7x - 15 + 15 = -22 + 15 \ \Rightarrow\ 7x = -7$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-7}{7} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$7\cdot(-1) - 15 = -7 - 15 = -22 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 15 = -22\ \Rightarrow\ x = -1 \]
\[ 7x - 15 = -22 \]
\[ 7x - 15 + 15 = -22 + 15 \ \Rightarrow\ 7x = -7 \]
\[ \frac{7x}{7} = \frac{-7}{7} \ \Rightarrow\ x = -1 \]
\[ 7\cdot(-1) - 15 = -7 - 15 = -22 \checkmark \]

Trying values of x in 7x − 15 = −22

x	7x − 15	Equals -22?
-3	-36	no
-2	-29	no
-1	-22	yes
0	-15	no
1	-8	no

Questions

What is x in 7x − 15 = −22?

The solution of 7x − 15 = −22 is x = -1.

How do you solve 7x − 15 = −22?

Add 15 to both sides to get 7x = -7, then divide both sides by 7 to get x = -1.

How do I check the answer?

Replace x by -1: 7(-1) − 15 = -22, which is -22.

Solve 7x − 15 = −22

How to work it out

Trying values of x in 7x − 15 = −22

Questions

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