To solve the equation, we can follow these steps:
Distribute the constants on both sides of the equation:
x - 5/10 - 2(x - 3)/5 = 3(x - 4)/15
x - 5/10 - 2x + 6/5 = 3x - 12/15
Combine like terms on both sides of the equation:
-1.5x + 6/5 = 3x - 12/15
Subtract 3x from both sides of the equation:
-4.5x + 6/5 = -12/15
Add 12/15 to both sides of the equation:
-4.5x + 18/15 = 0
Divide both sides of the equation by -4.5:
x = -18/15 / -4.5
Simplify the result:
x = 4/3