Solve 6x − 10 = −10

The solution of 6x − 10 = −10 is x = 0.

6x - 10 = -10\ \Rightarrow\ x = 0

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

The lines y = 6x − 10 and y = -10 meet at x = 0. 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.
$6x - 10 = -10$
2
Add 10 to both sides:
$6x - 10 + 10 = -10 + 10 \ \Rightarrow\ 6x = 0$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{0}{6} \ \Rightarrow\ x = 0$
4
Check: put x = 0 back into the equation.
$6\cdot0 - 10 = 0 - 10 = -10 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 10 = -10\ \Rightarrow\ x = 0 \]
\[ 6x - 10 = -10 \]
\[ 6x - 10 + 10 = -10 + 10 \ \Rightarrow\ 6x = 0 \]
\[ \frac{6x}{6} = \frac{0}{6} \ \Rightarrow\ x = 0 \]
\[ 6\cdot0 - 10 = 0 - 10 = -10 \checkmark \]

Trying values of x in 6x − 10 = −10

x	6x − 10	Equals -10?
-2	-22	no
-1	-16	no
0	-10	yes
1	-4	no
2	2	no

Questions

What is x in 6x − 10 = −10?

The solution of 6x − 10 = −10 is x = 0.

How do you solve 6x − 10 = −10?

Add 10 to both sides to get 6x = 0, then divide both sides by 6 to get x = 0.

How do I check the answer?

Replace x by 0: 6(0) − 10 = -10, which is -10.

Solve 6x − 10 = −10

How to work it out

Trying values of x in 6x − 10 = −10

Questions

Similar equations