Solve 6x + 14 = −34

The solution of 6x + 14 = −34 is x = -8.

6x + 14 = -34\ \Rightarrow\ x = -8

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

The lines y = 6x + 14 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.
$6x + 14 = -34$
2
Subtract 14 from both sides:
$6x + 14 - 14 = -34 - 14 \ \Rightarrow\ 6x = -48$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-48}{6} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$6\cdot(-8) + 14 = -48 + 14 = -34 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 14 = -34\ \Rightarrow\ x = -8 \]
\[ 6x + 14 = -34 \]
\[ 6x + 14 - 14 = -34 - 14 \ \Rightarrow\ 6x = -48 \]
\[ \frac{6x}{6} = \frac{-48}{6} \ \Rightarrow\ x = -8 \]
\[ 6\cdot(-8) + 14 = -48 + 14 = -34 \checkmark \]

Trying values of x in 6x + 14 = −34

x	6x + 14	Equals -34?
-10	-46	no
-9	-40	no
-8	-34	yes
-7	-28	no
-6	-22	no

Questions

What is x in 6x + 14 = −34?

The solution of 6x + 14 = −34 is x = -8.

How do you solve 6x + 14 = −34?

Subtract 14 from both sides to get 6x = -48, then divide both sides by 6 to get x = -8.

How do I check the answer?

Replace x by -8: 6(-8) + 14 = -34, which is -34.

Solve 6x + 14 = −34

How to work it out

Trying values of x in 6x + 14 = −34

Questions

Similar equations