Question

Solve the equation. Show your work. 3x – 10 = 5x + 32

Answer 1

Answer:

-21 =x

Step-by-step explanation:

3x – 10 = 5x + 32

Subtract 3x from each side

3x-3x – 10 = 5x-3x + 32

-10 =2x +32

Subtract 32 from each side

-10 -32 = 2x+32-32

-42 = 2x

Divide each side by 2

-42/2 = 2x/2

-21 =x

Answer 2

Answer: $x=-21$

Step-by-step explanation:

To solve the equation you need to find the value of "x".

First, you need to subtract 32 from both sides of the equation:

$3x - 10 -32= 5x + 32-32\\\\3x - 42= 5x$

 Now you must subtract $3x$ from both sides of the equation:

$3x - 42-3x= 5x-3x\\\\- 42= 2x$

And finally divide both sides of the equation by 2. Then:

$\frac{-42}{2}=\frac{2x}{2}\\\\x=-21$