Solve 10x + 14 = −66

The solution of 10x + 14 = −66 is x = -8.

10x + 14 = -66\ \Rightarrow\ x = -8

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

The lines y = 10x + 14 and y = -66 meet at x = -8. 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 addition, then the multiplication.
$10x + 14 = -66$
2
Subtract 14 from both sides:
$10x + 14 - 14 = -66 - 14 \ \Rightarrow\ 10x = -80$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-80}{10} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$10\cdot(-8) + 14 = -80 + 14 = -66 \checkmark$

LaTeX source of the formulas on this page

\[ 10x + 14 = -66\ \Rightarrow\ x = -8 \]
\[ 10x + 14 = -66 \]
\[ 10x + 14 - 14 = -66 - 14 \ \Rightarrow\ 10x = -80 \]
\[ \frac{10x}{10} = \frac{-80}{10} \ \Rightarrow\ x = -8 \]
\[ 10\cdot(-8) + 14 = -80 + 14 = -66 \checkmark \]

Trying values of x in 10x + 14 = −66

x	10x + 14	Equals -66?
-10	-86	no
-9	-76	no
-8	-66	yes
-7	-56	no
-6	-46	no

Questions

What is x in 10x + 14 = −66?

The solution of 10x + 14 = −66 is x = -8.

How do you solve 10x + 14 = −66?

Subtract 14 from both sides to get 10x = -80, then divide both sides by 10 to get x = -8.

How do I check the answer?

Replace x by -8: 10(-8) + 14 = -66, which is -66.

Solve 10x + 14 = −66

How to work it out

Trying values of x in 10x + 14 = −66

Questions

Similar equations