Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Given
[tex]6-3(2x-3)=5(6-x) -4x[/tex]
Required
Solve
[tex]6-3(2x-3)=5(6-x) -4x[/tex]
Open Brackets
[tex]6-3*2x-3*-3=5*6-5*x -4x[/tex]
[tex]6-6x+9=30-5x -4x[/tex]
Collect Like Terms
[tex]-6x + 5x + 4x = 30 - 6 - 9[/tex]
[tex]3x = 15[/tex]
Solve for x
[tex]x = \frac{1}{3} * 15[/tex]
[tex]x = 5[/tex]