Question

Solve for x5(x+4)-3x+3=5

Answer 1

x=-9

Step-by-step explanation

Step 1

apply the distributive property to eliminate the parenthesis

remember:

`a(b+c)=ab+ac`

then

`\begin{gathered} 5(x+4)-3x+3=5 \\ 5\cdot x+5\cdot4-3x+3=5 \\ 5x+20-3x+3=5 \end{gathered}`

Step 2

add similar terms,

`\begin{gathered} 5x+20-3x+3=5 \\ (5x-3x)+(20+3)=5 \\ 2x+23=5 \end{gathered}`

Step 3

subtract 23 in both sides

`\begin{gathered} 2x+23=5 \\ 2x+23-23=5-23 \\ 2x=-18 \end{gathered}`

Step 4

finally, divide each side by 2

`\begin{gathered} 2x=-18 \\ (2x)/(2)=(-18)/(2) \\ x=-9 \end{gathered}`

Hence , the answer is x=-9