3(a-1)+5=4(a-1.5)

Solution for 3(a-1)+5=4(a-1.5) equation:

Simplifying
3(a + -1) + 5 = 4(a + -1.5)

Reorder the terms:
3(-1 + a) + 5 = 4(a + -1.5)
(-1 * 3 + a * 3) + 5 = 4(a + -1.5)
(-3 + 3a) + 5 = 4(a + -1.5)

Reorder the terms:
-3 + 5 + 3a = 4(a + -1.5)

Combine like terms: -3 + 5 = 2
2 + 3a = 4(a + -1.5)

Reorder the terms:
2 + 3a = 4(-1.5 + a)
2 + 3a = (-1.5 * 4 + a * 4)
2 + 3a = (-6 + 4a)

Solving
2 + 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.
2 + 3a + -4a = -6 + 4a + -4a

Combine like terms: 3a + -4a = -1a
2 + -1a = -6 + 4a + -4a

Combine like terms: 4a + -4a = 0
2 + -1a = -6 + 0
2 + -1a = -6

Add '-2' to each side of the equation.
2 + -2 + -1a = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = -6 + -2
-1a = -6 + -2

Combine like terms: -6 + -2 = -8
-1a = -8

Divide each side by '-1'.
a = 8

Simplifying
a = 8