3[a-1]=4[a-1.5]

Solution for 3[a-1]=4[a-1.5] equation:

Simplifying
3[a + -1] = 4[a + -1.5]

Reorder the terms:
3[-1 + a] = 4[a + -1.5]
[-1 * 3 + a * 3] = 4[a + -1.5]
[-3 + 3a] = 4[a + -1.5]

Reorder the terms:
-3 + 3a = 4[-1.5 + a]
-3 + 3a = [-1.5 * 4 + a * 4]
-3 + 3a = [-6 + 4a]

Solving
-3 + 3a = -6 + 4a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-4a' to each side of the equation.
-3 + 3a + -4a = -6 + 4a + -4a

Combine like terms: 3a + -4a = -1a
-3 + -1a = -6 + 4a + -4a

Combine like terms: 4a + -4a = 0
-3 + -1a = -6 + 0
-3 + -1a = -6

Add '3' to each side of the equation.
-3 + 3 + -1a = -6 + 3

Combine like terms: -3 + 3 = 0
0 + -1a = -6 + 3
-1a = -6 + 3

Combine like terms: -6 + 3 = -3
-1a = -3

Divide each side by '-1'.
a = 3

Simplifying
a = 3