Solve 10x − 6 = −96

The solution of 10x − 6 = −96 is x = -9.

10x - 6 = -96\ \Rightarrow\ x = -9

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

The lines y = 10x − 6 and y = -96 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.
$10x - 6 = -96$
2
Add 6 to both sides:
$10x - 6 + 6 = -96 + 6 \ \Rightarrow\ 10x = -90$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-90}{10} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$10\cdot(-9) - 6 = -90 - 6 = -96 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 6 = -96\ \Rightarrow\ x = -9 \]
\[ 10x - 6 = -96 \]
\[ 10x - 6 + 6 = -96 + 6 \ \Rightarrow\ 10x = -90 \]
\[ \frac{10x}{10} = \frac{-90}{10} \ \Rightarrow\ x = -9 \]
\[ 10\cdot(-9) - 6 = -90 - 6 = -96 \checkmark \]

Trying values of x in 10x − 6 = −96

x	10x − 6	Equals -96?
-11	-116	no
-10	-106	no
-9	-96	yes
-8	-86	no
-7	-76	no

Questions

What is x in 10x − 6 = −96?

The solution of 10x − 6 = −96 is x = -9.

How do you solve 10x − 6 = −96?

Add 6 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) − 6 = -96, which is -96.

Solve 10x − 6 = −96

How to work it out

Trying values of x in 10x − 6 = −96

Questions

Similar equations