Solve 10x − 6 = −16

The solution of 10x − 6 = −16 is x = -1.

10x - 6 = -16\ \Rightarrow\ x = -1

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

The lines y = 10x − 6 and y = -16 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.
$10x - 6 = -16$
2
Add 6 to both sides:
$10x - 6 + 6 = -16 + 6 \ \Rightarrow\ 10x = -10$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-10}{10} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$10\cdot(-1) - 6 = -10 - 6 = -16 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 6 = -16\ \Rightarrow\ x = -1 \]
\[ 10x - 6 = -16 \]
\[ 10x - 6 + 6 = -16 + 6 \ \Rightarrow\ 10x = -10 \]
\[ \frac{10x}{10} = \frac{-10}{10} \ \Rightarrow\ x = -1 \]
\[ 10\cdot(-1) - 6 = -10 - 6 = -16 \checkmark \]

Trying values of x in 10x − 6 = −16

x	10x − 6	Equals -16?
-3	-36	no
-2	-26	no
-1	-16	yes
0	-6	no
1	4	no

Questions

What is x in 10x − 6 = −16?

The solution of 10x − 6 = −16 is x = -1.

How do you solve 10x − 6 = −16?

Add 6 to both sides to get 10x = -10, then divide both sides by 10 to get x = -1.

How do I check the answer?

Replace x by -1: 10(-1) − 6 = -16, which is -16.

Solve 10x − 6 = −16

How to work it out

Trying values of x in 10x − 6 = −16

Questions

Similar equations