use the distributive property to solve the equation 25 - (3x + 5)=2(x + 8)+x. solve the equation. 25…

use the distributive property to solve the equation 25 - (3x + 5)=2(x + 8)+x. solve the equation. 25 - (square)x - (square)=2x + (square)+x 20 - (square)x=(square)x + (square) 20 - (square)x=(square) (square)x=-4 x=(square) (type integers or fractions.)

use the distributive property to solve the equation 25 - (3x + 5)=2(x + 8)+x. solve the equation. 25 - (square)x - (square)=2x + (square)+x 20 - (square)x=(square)x + (square) 20 - (square)x=(square) (square)x=-4 x=(square) (type integers or fractions.)

Answer

Explanation:

Step1: Apply distributive property

$25-(3x + 5)=25-3x - 5=20 - 3x$, and $2(x + 8)+x=2x+16 + x=3x + 16$. So the equation becomes $20-3x=3x + 16$.

Step2: Move x - terms to one side

Add $3x$ to both sides: $20-3x+3x=3x + 16+3x$, which simplifies to $20 = 6x+16$.

Step3: Isolate the term with x

Subtract 16 from both sides: $20-16=6x+16 - 16$, getting $4 = 6x$.

Step4: Solve for x

Divide both sides by 6: $x=\frac{4}{6}=\frac{2}{3}$.

Answer:

$x=\frac{2}{3}$