Solve 10x − 14 = −14

The solution of 10x − 14 = −14 is x = 0.

10x - 14 = -14\ \Rightarrow\ x = 0

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

The lines y = 10x − 14 and y = -14 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.
$10x - 14 = -14$
2
Add 14 to both sides:
$10x - 14 + 14 = -14 + 14 \ \Rightarrow\ 10x = 0$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{0}{10} \ \Rightarrow\ x = 0$
4
Check: put x = 0 back into the equation.
$10\cdot0 - 14 = 0 - 14 = -14 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 14 = -14\ \Rightarrow\ x = 0 \]
\[ 10x - 14 = -14 \]
\[ 10x - 14 + 14 = -14 + 14 \ \Rightarrow\ 10x = 0 \]
\[ \frac{10x}{10} = \frac{0}{10} \ \Rightarrow\ x = 0 \]
\[ 10\cdot0 - 14 = 0 - 14 = -14 \checkmark \]

Trying values of x in 10x − 14 = −14

x	10x − 14	Equals -14?
-2	-34	no
-1	-24	no
0	-14	yes
1	-4	no
2	6	no

Questions

What is x in 10x − 14 = −14?

The solution of 10x − 14 = −14 is x = 0.

How do you solve 10x − 14 = −14?

Add 14 to both sides to get 10x = 0, then divide both sides by 10 to get x = 0.

How do I check the answer?

Replace x by 0: 10(0) − 14 = -14, which is -14.

Solve 10x − 14 = −14

How to work it out

Trying values of x in 10x − 14 = −14

Questions

Similar equations