Question

What is the first step to solve for X? 2(3x+2)=10

Answer 1

to solve this question, we need to first of all open the bracket and simplify the equation

Explanation

step 1

open the bracket

`\begin{gathered} 2(3x\text{ }+\text{ 2})\text{ }=\text{ 10} \\ \text{multiply through the bracket by 2 } \\ 6x\text{ }+\text{ 4 }=\text{ 10} \end{gathered}`

the first step is to open the bracket and you can do this by multiplying the contents of the bracket by the outer number.

however, for the purpose of education and knowledge, i'll proceed to solve the question by finding x.

you only need step 1 for your answer

step 2

collect like terms

`\begin{gathered} 6x\text{ }+\text{ 4 }=\text{ 10} \\ 6x\text{ }=\text{ 10 }-\text{ 4} \\ 6x\text{ }=\text{ 6} \end{gathered}`

step 3

divide both sides by 6 and solve for x

`\begin{gathered} (6x)/(6)\text{ }=\text{ }(6)/(6) \\ x\text{ }=\text{ 1} \end{gathered}`

x = 1