Solve 10x + 14 = −86

The solution of 10x + 14 = −86 is x = -10.

10x + 14 = -86\ \Rightarrow\ x = -10

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

The lines y = 10x + 14 and y = -86 meet at x = -10. 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.
$10x + 14 = -86$
2
Subtract 14 from both sides:
$10x + 14 - 14 = -86 - 14 \ \Rightarrow\ 10x = -100$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-100}{10} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$10\cdot(-10) + 14 = -100 + 14 = -86 \checkmark$

LaTeX source of the formulas on this page

\[ 10x + 14 = -86\ \Rightarrow\ x = -10 \]
\[ 10x + 14 = -86 \]
\[ 10x + 14 - 14 = -86 - 14 \ \Rightarrow\ 10x = -100 \]
\[ \frac{10x}{10} = \frac{-100}{10} \ \Rightarrow\ x = -10 \]
\[ 10\cdot(-10) + 14 = -100 + 14 = -86 \checkmark \]

Trying values of x in 10x + 14 = −86

x	10x + 14	Equals -86?
-12	-106	no
-11	-96	no
-10	-86	yes
-9	-76	no
-8	-66	no

Questions

What is x in 10x + 14 = −86?

The solution of 10x + 14 = −86 is x = -10.

How do you solve 10x + 14 = −86?

Subtract 14 from both sides to get 10x = -100, then divide both sides by 10 to get x = -10.

How do I check the answer?

Replace x by -10: 10(-10) + 14 = -86, which is -86.

Solve 10x + 14 = −86

How to work it out

Trying values of x in 10x + 14 = −86

Questions

Similar equations