Find the solution set for \(3a - 5 = -6a + 1\)

Solve \(\displaystyle\frac{2}{3}x+\displaystyle\frac{1}{2}= \displaystyle-\frac{3}{8}\)

Solve \(0.06x+0.05(10,000-x)=560\)

Solve \(8-3(4x-2)+5x=35\)

Solve \(x^2 -2x-24=0\)

Solve \(100x^2 =300x\)

Solve \((x-2)(x+1)=4\)

Solve \(x^3 +2x^2 -9x-18=0\)

Given the formula \(P=2w+2l\), solve for \(w\).

Solve for \(x\); \(ax-3=bx+5\)

Solve \(2(3x-4)=3+6x\)

Solve \(-15+3x=3(x-5)\)