Question

Solve:6(3 - 3x) = 4(3x - 2)

Answer 1

To solve for x in the given equation;

`6(3-3x)=4(3x-2)`

Firstly, let's expand the brackets.

`\begin{gathered} 6(3)-6(3x)=4(3x)-4(2) \\ 18-18x=12x-8 \end{gathered}`

Then let's add 18x to both sides;

`\begin{gathered} 18-18x+18x=12x+18x-8 \\ 18=30x-8 \end{gathered}`

then add 8 to both sides;

`\begin{gathered} 18+8=30x-8+8 \\ 26=30x \end{gathered}`

then divide both sides by 30.

`\begin{gathered} (26)/(30)=(30x)/(30) \\ (26)/(30)=x \\ x\text{ = }(26)/(30)=(13)/(15) \\ x=(13)/(15) \end{gathered}`

The solution to the given equation is;

`x=(13)/(15)`