Question

25-(3x+5)=2(x+8)+x step by step

Answer 1

Steps:

The initial expression is:

`25-(3x+5)=2(x+8)+x`

Applying the distributive property:

`\begin{gathered} 25-3x-5=2\cdot x+2\cdot8+x \\ 25-3x-5=2x+16+x \end{gathered}`

Adding like terms:

`20-3x=3x+16`

Subtracting 16 on both sides of the equation:

`\begin{gathered} 20-3x-16=3x+16-16 \\ 4-3x=3x \end{gathered}`

Adding 3x on both sides:

`\begin{gathered} 4-3x+3x=3x+3x \\ 4=6x \end{gathered}`

Dividing by 6:

`\begin{gathered} (4)/(6)=(6x)/(6) \\ (2)/(3)=x \end{gathered}`

Answer: x = 2/3