Question

How do you solve `4x-10=-22`?

Answer 1

`color(blue)(x = -3)`

Explanation:

`4x−10=−22`

The unknown variable is `x`,

To solve for the value of `x`, we need to do the Golden Rule of Algebra, isolation of the unknown variables by balancing all the side of the equations.

We must isolate `x` from other terms, like `-10`
to eliminate `-10`, we must add `+10` on both sides,

`4x−10 +10=−22 + 10`

then we get,

`4x = -12`

since, we only need the value of `x`, we need to transpose the `4` in `4x`, by dividing both side of the equation by `4`,

`(4x)/4=(-12)/4`

`cancel((4)x)/cancel4=(-12)/4`

we get, `x = (-12)/4`

simplifying the answer, we get, the final answer,

`color(blue)(x = -3)`