3a-1=4(a-1.5)

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

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

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

Reorder the terms:
-1 + 3a = 4(-1.5 + a)
-1 + 3a = (-1.5 * 4 + a * 4)
-1 + 3a = (-6 + 4a)

Solving
-1 + 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.
-1 + 3a + -4a = -6 + 4a + -4a

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

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

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

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

Combine like terms: -6 + 1 = -5
-1a = -5

Divide each side by '-1'.
a = 5

Simplifying
a = 5