1.5(n-4)-3=3-(2n+3)

Solution for 1.5(n-4)-3=3-(2n+3) equation:

Simplifying
1.5(n + -4) + -3 = 3 + -1(2n + 3)

Reorder the terms:
1.5(-4 + n) + -3 = 3 + -1(2n + 3)
(-4 * 1.5 + n * 1.5) + -3 = 3 + -1(2n + 3)
(-6 + 1.5n) + -3 = 3 + -1(2n + 3)

Reorder the terms:
-6 + -3 + 1.5n = 3 + -1(2n + 3)

Combine like terms: -6 + -3 = -9
-9 + 1.5n = 3 + -1(2n + 3)

Reorder the terms:
-9 + 1.5n = 3 + -1(3 + 2n)
-9 + 1.5n = 3 + (3 * -1 + 2n * -1)
-9 + 1.5n = 3 + (-3 + -2n)

Combine like terms: 3 + -3 = 0
-9 + 1.5n = 0 + -2n
-9 + 1.5n = -2n

Solving
-9 + 1.5n = -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
-9 + 1.5n + 2n = -2n + 2n

Combine like terms: 1.5n + 2n = 3.5n
-9 + 3.5n = -2n + 2n

Combine like terms: -2n + 2n = 0
-9 + 3.5n = 0

Add '9' to each side of the equation.
-9 + 9 + 3.5n = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 3.5n = 0 + 9
3.5n = 0 + 9

Combine like terms: 0 + 9 = 9
3.5n = 9

Divide each side by '3.5'.
n = 2.571428571

Simplifying
n = 2.571428571