Question

2(3x-7)+4(3x+2)=6(5x+9)+3

Answer 1

We will simplify each side at first then, solve to find x

`\begin{gathered} 2(3x-7)+4(3x+2)=6(5x+9)+3 \\ 2(3x)-2(7)+4(3x)+4(2)=6(5x)+6(9)+3 \end{gathered}`

Now multiply and add the like terms

`\begin{gathered} 6x-14+12x+8=30x+54+3 \\ (6x+12x)+(-14+8)=30x+(54+3) \end{gathered}`

Add 6 from both sides

`\begin{gathered} 18x+6-6=30x+57+6 \\ 18x=30x+63 \end{gathered}`

Subtract 30x from both sides

`18x-30x=30x-30x+63`
`-12x=63`

Divide both sides by -12 to find x

`\begin{gathered} (-12x)/(-12)=(63)/(-12) \\ x=-5.25 \end{gathered}`

The value of x is -5.25