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 = -9
-1a = -9

Divide each side by '-1'.
a = 9

Simplifying
a = 9