Solve 9x + 7 = −2

The solution of 9x + 7 = −2 is x = -1.

9x + 7 = -2\ \Rightarrow\ x = -1

Explain it step by step in chat Make a short video of it

The lines y = 9x + 7 and y = -2 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 addition, then the multiplication.
$9x + 7 = -2$
2
Subtract 7 from both sides:
$9x + 7 - 7 = -2 - 7 \ \Rightarrow\ 9x = -9$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-9}{9} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$9\cdot(-1) + 7 = -9 + 7 = -2 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 7 = -2\ \Rightarrow\ x = -1 \]
\[ 9x + 7 = -2 \]
\[ 9x + 7 - 7 = -2 - 7 \ \Rightarrow\ 9x = -9 \]
\[ \frac{9x}{9} = \frac{-9}{9} \ \Rightarrow\ x = -1 \]
\[ 9\cdot(-1) + 7 = -9 + 7 = -2 \checkmark \]

Trying values of x in 9x + 7 = −2

x	9x + 7	Equals -2?
-3	-20	no
-2	-11	no
-1	-2	yes
0	7	no
1	16	no

Questions

What is x in 9x + 7 = −2?

The solution of 9x + 7 = −2 is x = -1.

How do you solve 9x + 7 = −2?

Subtract 7 from both sides to get 9x = -9, then divide both sides by 9 to get x = -1.

How do I check the answer?

Replace x by -1: 9(-1) + 7 = -2, which is -2.

Solve 9x + 7 = −2

How to work it out

Trying values of x in 9x + 7 = −2

Questions

Similar equations