Question

Simplify the expression to standard form

-1/2(8x - 4) + (-5 + 3x)

Answer 1

`- x - 3`

Explanation:

1) regroup term.

`- (1)/(2) (8x - 4) + 3x - 5`

2) Simplify 1/2 ( 8x - 4 ) to 8x - 4/2.

`- (8x - 4)/(2) + 3x - 5`

3) Factor out the common term 4.

`- (4(2x - 1))/(2) + 3x - 5`

4) Simplify 4( 2x - 1 ) / 2 to 2( 2x - 1).

`- 2(2x - 1) + 3x - 5`

5) Expand by distributing terms.

`- (4x - 2) + 3x - 5`

6) Remove parentheses.

`- 4x + 2 + 3x - 5`

6) Collect like terms.

`( - 4x + 3x) + (2 - 5)`

8) Simplify.

`- x - 3`

Therefor, the answer is -x - 3.