Question

Simplify the expression to standard form

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

Answer 1

Answer:

$- x - 3$

Step-by-step explanation:

1) regroup term.

$- \frac{1}{2} (8x - 4) + 3x - 5$

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

$- \frac{8x - 4}{2} + 3x - 5$

3) Factor out the common term 4.

$- \frac{4(2x - 1)}{2} + 3x - 5$

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.