Question

Can you simplify this.

Answer 1

`\displaystyle{(x)/(3) - 9}`

Explanation:

Given the expression:

`\displaystyle{(3\left(2x-4\right)-5\left(x+3\right))/(3)}`

To simplify the expression, we have to distribute the terms in first. Therefore:

`\displaystyle{=(3\cdot 2x - 3\cdot 4 -5 \cdot x -5\cdot 3)/(3)}\\\\\displaystyle{=(6x-12-5x-15)/(3)}`

Evaluate the like terms:

`\displaystyle{=(x-27)/(3)}`

Then separate the fractions and simplify to simplest:

`\displaystyle{=(x)/(3) -(27)/(3)}\\\\\displaystyle{=(x)/(3)-9}`