Question

Distribute and combine like terms before solving. Solve using the inverse operations 2(3x+ 5) = 34

Answer 1

Given the equation:

`2(3x+5)=34`

we can apply the distributive property on the left side to get the following:

`2(3x+5)=2\cdot(3x)+2(5)=6x+10`

then, we have the following equivalent expression:

`6x+10=34`

now, to solve for 'x', first we can substract 10 from both sides of the equation to get:

`\begin{gathered} 6x+10-10=34-10 \\ \Rightarrow6x=24 \end{gathered}`

finally, we can divide both sides by 6 to get:

`\begin{gathered} (6x=24)\cdot(1)/(6) \\ \Rightarrow(6)/(6)x=(24)/(6) \\ \Rightarrow x=4 \end{gathered}`

therefore, x = 4