Question

slove -2 (x+4) +x+5=3-5 (2-x).​

Answer 1

Step-by-step explanation:

$- 2x - 8 + x + 5 = - 4x + 2x \\ - x - 3 = - 2x \\ 2x - x - 3 = 0 \\ x - 3 = 0 \\ x = 3$

Answer 2

$\sf{-2(x+4)+x+5=3-5(2-x)}$

We need to expand this term by multiplying a term and an expression.   The following product distributive property will be used : a(b + c) = ab + ac. In our example, the resulting expression will consist of 2 terms :

• The first term is a product of 2 and x .

• The second term is a product of 2 and 4.

$\to\sf{-(2 x+2 \cdot 4)+x+5=3-5(-x+2)}$

Simple numerical terms are commonly written last .

$\to\sf{-(2 x+8)+x+5=-5(-x+2)+3}$

Simplifying Both The Sides Would Give you :

$\to\sf{-x-3=5 x-7}$

Adding 3 to Both Sides of the Expression

$\to\sf{-x-3+3=5 x-7+3}$

$\to\sf{-x=5 x-4}$

Subtracting 5x to from Sides of the Expression

$\to\sf{-x-5x=5x-4-5x}$

$\to\sf{-6x=-4}$

Dividing by - 6 on Both Sides of the Expression

$\to\sf{-6x/-6=-4/-6}$

$\to\sf{x=2/3}$