Solve 5x + 14 = −26

The solution of 5x + 14 = −26 is x = -8.

5x + 14 = -26\ \Rightarrow\ x = -8

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

The lines y = 5x + 14 and y = -26 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.
$5x + 14 = -26$
2
Subtract 14 from both sides:
$5x + 14 - 14 = -26 - 14 \ \Rightarrow\ 5x = -40$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-40}{5} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$5\cdot(-8) + 14 = -40 + 14 = -26 \checkmark$

LaTeX source of the formulas on this page

\[ 5x + 14 = -26\ \Rightarrow\ x = -8 \]
\[ 5x + 14 = -26 \]
\[ 5x + 14 - 14 = -26 - 14 \ \Rightarrow\ 5x = -40 \]
\[ \frac{5x}{5} = \frac{-40}{5} \ \Rightarrow\ x = -8 \]
\[ 5\cdot(-8) + 14 = -40 + 14 = -26 \checkmark \]

Trying values of x in 5x + 14 = −26

x	5x + 14	Equals -26?
-10	-36	no
-9	-31	no
-8	-26	yes
-7	-21	no
-6	-16	no

Questions

What is x in 5x + 14 = −26?

The solution of 5x + 14 = −26 is x = -8.

How do you solve 5x + 14 = −26?

Subtract 14 from both sides to get 5x = -40, then divide both sides by 5 to get x = -8.

How do I check the answer?

Replace x by -8: 5(-8) + 14 = -26, which is -26.

Solve 5x + 14 = −26

How to work it out

Trying values of x in 5x + 14 = −26

Questions

Similar equations