Question

How do you solve `3(4x-3) - (x+7) = 5(10-x)`?

Answer 1

`x=33/8`

Refer to the explanation for the process.

Explanation:

Solve:

`3(4x-3)-(x+7)=5(10-x)`

Expand using the distributive property: `a(b+c)=ab+ac`.

`12x-9-x-7=50-5x`

Simplify.

`11x-16=50-5x`

Add `5x` to both sides.

`11x+5x-16=50`

Add `16` to both sides.

`11x+5x=50+16`

Simplify.

`16x=66`

Divide both sides by `16`.

`x=66/16`

Reduce the fraction by dividing the numerator and denominator by `2`.

`x=33/8`