Question

How do you solve 32 - 6x = 53?

Answer 1

x = - 3.5

Explanation:

32 - 6x = 53 ( subtract 32 from both sides )

- 6x = 21 ( divide both sides by - 6 )

x =
`(21)/(-6)` = -
`(7)/(2)` = - 3.5

Answer 2

`\large\boxed{x=-(7)/(2)}`

To solve for
`x`, we need to isolate it on one side of the equation.

The most important part of this is knowing that whatever we do to one side of the equation, we must also do to the other.

Subtract 32 from both sides of the equation.

`\begin{aligned}32-32-6x&=53-32\\-6x&=21\end{aligned}`

Divide both sides of the equation by
`-6`.

`\begin{aligned}(-6x)/(-6)&=(21)/(-6)\\x&=\boxed{-(7)/(2)}\end{aligned}`