Hey there!
Distribute
[tex] -5(3x+2)+9x=6(4x-5) \\ \\ -5(3x) + -5(2) + 9x = 6(4x)+6(-5) \\ \\ -5(3x) = -15x \\ \\ -5(2) = -10 \\ \\ 9x= 9x \\ \\ 6(4x)= 24x \\ \\ 6(-5) = -30 \\ \\ -15x + 9x + (-10) =24x -30 [/tex]
Combine Like Terms
[tex] (-15x + 9x) + (-10) = 24x - 30 \\ \\ -15x +9x = -6x \\ \\ -6x + (-10) = 24x-30 [/tex]
You have to subtract by 24x on each of your sides
[tex] -6x-10-24x \\ 24x -30- 24x \\ \\ -30x -10 = -30 [/tex]
Next, you have to add by 10 on each of your sides
[tex] -30x - 10 + 10 \\ -30 + 10 \\ \\ -30 + 10 = -20 \\ \\ -30x = -20 [/tex]
Lastly, you have to divide both of your sides by -30
[tex] \frac{-30x}{-30} = \frac{-20}{-30} \\ \\ \frac{-20}{-30} = x \\ \\ x= \frac{2}{3} [/tex]
Your answer!
[tex] x = \frac{2}{3} [/tex]
Good luck on your assignment and enjoy your day!
~[tex] LoveYourselfFirst:) [/tex]