Question

Multi step equation 6-x-3=4(x-2)

Answer 1

`x=(14)/(5)`

Step-by-step explanation

`6-x=4(x-2)`

Step 1

apply the distributive property to eliminate the parenthesis

`\begin{gathered} 6-x=4(x-2) \\ 6-x=4x-8 \end{gathered}`

Step 2

add x in both sides

`\begin{gathered} 6-x=4x-8 \\ 6-x+x=4x-8+x \\ 6=5x-8 \end{gathered}`

Step 3

add 8 in both sides

`\begin{gathered} 6=5x-8 \\ 6+8=5x-8+8 \\ 14=5x \end{gathered}`

Step 4

finally, divide each side by 5

`\begin{gathered} 14=5x \\ x=(14)/(5) \end{gathered}`

I hope this helps you