Solve 6x − 8 = −32

The solution of 6x − 8 = −32 is x = -4.

6x - 8 = -32\ \Rightarrow\ x = -4

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

The lines y = 6x − 8 and y = -32 meet at x = -4. 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 subtraction, then the multiplication.
$6x - 8 = -32$
2
Add 8 to both sides:
$6x - 8 + 8 = -32 + 8 \ \Rightarrow\ 6x = -24$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-24}{6} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$6\cdot(-4) - 8 = -24 - 8 = -32 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 8 = -32\ \Rightarrow\ x = -4 \]
\[ 6x - 8 = -32 \]
\[ 6x - 8 + 8 = -32 + 8 \ \Rightarrow\ 6x = -24 \]
\[ \frac{6x}{6} = \frac{-24}{6} \ \Rightarrow\ x = -4 \]
\[ 6\cdot(-4) - 8 = -24 - 8 = -32 \checkmark \]

Trying values of x in 6x − 8 = −32

x	6x − 8	Equals -32?
-6	-44	no
-5	-38	no
-4	-32	yes
-3	-26	no
-2	-20	no

Questions

What is x in 6x − 8 = −32?

The solution of 6x − 8 = −32 is x = -4.

How do you solve 6x − 8 = −32?

Add 8 to both sides to get 6x = -24, then divide both sides by 6 to get x = -4.

How do I check the answer?

Replace x by -4: 6(-4) − 8 = -32, which is -32.

Solve 6x − 8 = −32

How to work it out

Trying values of x in 6x − 8 = −32

Questions

Similar equations