Given;
Find the value of x in the following:3(2x-1) =5(3x-15)
Solution;
- Simplify both sides of the equation. Then subtract 15x and add 3 on both sides. Lastly, divide both sides with –9 to determine the answer.
[tex] \\ \sf = 3(2x-1) =5(3x-15)[/tex]
[tex] = \sf(3)(2x)+(3)(−1)=(5)(3x)+(5)(−15)[/tex]
[tex] = \sf6x+−3=15x+−75[/tex]
[tex] = \sf6x−3=15x−75[/tex]
[tex] = \sf6x−3− \blue1 \blue5 \blue x=15x−75 - \blue1 \blue5 \blue x[/tex]
[tex] = \sf−9x−3=−75[/tex]
[tex] = \sf−9x−3+ \red3=−75+ \red3[/tex]
[tex] = \sf - 9x = - 72[/tex]
[tex] = \sf \frac{ - 9x}{9} = \frac{ - 72}{ - 9} \\ [/tex]
Answer;
[tex] = \sf \: \green x \green= \green 8 \\ \\ [/tex]
