3(a-1)=4a-1.5

Solution for 3(a-1)=4a-1.5 equation:

Simplifying
3(a + -1) = 4a + -1.5

Reorder the terms:
3(-1 + a) = 4a + -1.5
(-1 * 3 + a * 3) = 4a + -1.5
(-3 + 3a) = 4a + -1.5

Reorder the terms:
-3 + 3a = -1.5 + 4a

Solving
-3 + 3a = -1.5 + 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 = -1.5 + 4a + -4a

Combine like terms: 3a + -4a = -1a
-3 + -1a = -1.5 + 4a + -4a

Combine like terms: 4a + -4a = 0
-3 + -1a = -1.5 + 0
-3 + -1a = -1.5

Add '3' to each side of the equation.
-3 + 3 + -1a = -1.5 + 3

Combine like terms: -3 + 3 = 0
0 + -1a = -1.5 + 3
-1a = -1.5 + 3

Combine like terms: -1.5 + 3 = 1.5
-1a = 1.5

Divide each side by '-1'.
a = -1.5

Simplifying
a = -1.5