Question

If ax - 7=b(x+2). then x =

Answer 1

`x=(2b+7)/((a-b))`

Step-by-step explanation

`ax-7=b(x+2)`

Step 1

apply distributive property to eliminate the parenthesis

`\begin{gathered} ax-7=b(x+2) \\ ax-7=bx+2b \end{gathered}`

Step 2

add 7 in both sides

`\begin{gathered} ax-7=bx+2b \\ ax-7+7=bx+2b+7 \\ ax=bx+2b+7 \\ \end{gathered}`

Step 3

subtract bx in both sides

`\begin{gathered} ax=bx+2b+7 \\ ax-bx=bx+2b+7-bx \\ ax-bx=2b+7 \\ \text{factorize x} \\ x(a-b)=2b+7 \end{gathered}`

Step 4

finally, divide both sides by (a-b)

`\begin{gathered} (x(a-b))/((a-b))=(2b+7)/((a-b)) \\ \\ x=(2b+7)/((a-b)) \end{gathered}`