Solve 10x − 7 = −97

The solution of 10x − 7 = −97 is x = -9.

10x - 7 = -97\ \Rightarrow\ x = -9

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

The lines y = 10x − 7 and y = -97 meet at x = -9. 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.
$10x - 7 = -97$
2
Add 7 to both sides:
$10x - 7 + 7 = -97 + 7 \ \Rightarrow\ 10x = -90$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-90}{10} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$10\cdot(-9) - 7 = -90 - 7 = -97 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 7 = -97\ \Rightarrow\ x = -9 \]
\[ 10x - 7 = -97 \]
\[ 10x - 7 + 7 = -97 + 7 \ \Rightarrow\ 10x = -90 \]
\[ \frac{10x}{10} = \frac{-90}{10} \ \Rightarrow\ x = -9 \]
\[ 10\cdot(-9) - 7 = -90 - 7 = -97 \checkmark \]

Trying values of x in 10x − 7 = −97

x	10x − 7	Equals -97?
-11	-117	no
-10	-107	no
-9	-97	yes
-8	-87	no
-7	-77	no

Questions

What is x in 10x − 7 = −97?

The solution of 10x − 7 = −97 is x = -9.

How do you solve 10x − 7 = −97?

Add 7 to both sides to get 10x = -90, then divide both sides by 10 to get x = -9.

How do I check the answer?

Replace x by -9: 10(-9) − 7 = -97, which is -97.

Solve 10x − 7 = −97

How to work it out

Trying values of x in 10x − 7 = −97

Questions

Similar equations