a)
4x - 3 = 3x + 5
4x - 3x = 5 + 3
x = 8
b)
6(x + 1) = 24 /:6
x + 1 = 4
x = 4 - 1
x = 3
c)
-1/2(-x - 6) = -x /·2
x + 6 = 2x
x - 2x = -6
-x = -6 /:(-1)
x = 6
d)
3x(2x + 5) = (x + 3)(6x + 1)
6x² + 15x = 6x² + x + 18x + 3
15x = 19x + 3
15x - 19x = 3
-4x = 3 /:(-4)
x = -3/4
e)
x + 5/4 - 2x + 1/8 = 1/2(2 - x) /·8
8x + 10 - 16x + 1 = 4(2 - x)
-8x + 11 = 8 - 4x
-8x + 4x = 8 - 11
-4x = -3 /:(-4)
x = 3/4
