Solve 10x + 8 = −32

The solution of 10x + 8 = −32 is x = -4.

10x + 8 = -32\ \Rightarrow\ x = -4

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

The lines y = 10x + 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 addition, then the multiplication.
$10x + 8 = -32$
2
Subtract 8 from both sides:
$10x + 8 - 8 = -32 - 8 \ \Rightarrow\ 10x = -40$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-40}{10} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$10\cdot(-4) + 8 = -40 + 8 = -32 \checkmark$

LaTeX source of the formulas on this page

\[ 10x + 8 = -32\ \Rightarrow\ x = -4 \]
\[ 10x + 8 = -32 \]
\[ 10x + 8 - 8 = -32 - 8 \ \Rightarrow\ 10x = -40 \]
\[ \frac{10x}{10} = \frac{-40}{10} \ \Rightarrow\ x = -4 \]
\[ 10\cdot(-4) + 8 = -40 + 8 = -32 \checkmark \]

Trying values of x in 10x + 8 = −32

x	10x + 8	Equals -32?
-6	-52	no
-5	-42	no
-4	-32	yes
-3	-22	no
-2	-12	no

Questions

What is x in 10x + 8 = −32?

The solution of 10x + 8 = −32 is x = -4.

How do you solve 10x + 8 = −32?

Subtract 8 from both sides to get 10x = -40, then divide both sides by 10 to get x = -4.

How do I check the answer?

Replace x by -4: 10(-4) + 8 = -32, which is -32.

Solve 10x + 8 = −32

How to work it out

Trying values of x in 10x + 8 = −32

Questions

Similar equations