Question

Solve for x  3(5-4x)=3(3x+4)

Answer 1

Given the equation:

`3(5-4x)=3(3x+4)`

To solve,

Step 1: Open parentheses.

`\begin{gathered} 3(5-4x)=3(3x+4) \\ \Rightarrow(3*5)+(3*-4x)=(3*3x)+(3*4) \\ \Rightarrow15+(-12x)=9x+12 \\ \Rightarrow15-12x=9x+12 \end{gathered}`

Step 2: Collect like terms.

`\begin{gathered} -12x-9x=12-15 \\ \Rightarrow-21x=-3 \\ divide\text{ both sides by the coefficient of x, which is -21} \\ -(21x)/(-21)=-(3)/(-21) \\ \Rightarrow x=(1)/(7) \end{gathered}`

Hence, we have

`x=(1)/(7)`