Solve 5x + 6 = −34

The solution of 5x + 6 = −34 is x = -8.

5x + 6 = -34\ \Rightarrow\ x = -8

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

The lines y = 5x + 6 and y = -34 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.
$5x + 6 = -34$
2
Subtract 6 from both sides:
$5x + 6 - 6 = -34 - 6 \ \Rightarrow\ 5x = -40$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-40}{5} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$5\cdot(-8) + 6 = -40 + 6 = -34 \checkmark$

LaTeX source of the formulas on this page

\[ 5x + 6 = -34\ \Rightarrow\ x = -8 \]
\[ 5x + 6 = -34 \]
\[ 5x + 6 - 6 = -34 - 6 \ \Rightarrow\ 5x = -40 \]
\[ \frac{5x}{5} = \frac{-40}{5} \ \Rightarrow\ x = -8 \]
\[ 5\cdot(-8) + 6 = -40 + 6 = -34 \checkmark \]

Trying values of x in 5x + 6 = −34

x	5x + 6	Equals -34?
-10	-44	no
-9	-39	no
-8	-34	yes
-7	-29	no
-6	-24	no

Questions

What is x in 5x + 6 = −34?

The solution of 5x + 6 = −34 is x = -8.

How do you solve 5x + 6 = −34?

Subtract 6 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) + 6 = -34, which is -34.

Solve 5x + 6 = −34

How to work it out

Trying values of x in 5x + 6 = −34

Questions

Similar equations