1.5*(x+1)-(0.5+2)=

Solution for 1.5*(x+1)-(0.5+2)= equation:

Simplifying
1.5(x + 1) + -1(0.5 + 2) = 0

Reorder the terms:
1.5(1 + x) + -1(0.5 + 2) = 0
(1 * 1.5 + x * 1.5) + -1(0.5 + 2) = 0
(1.5 + 1.5x) + -1(0.5 + 2) = 0

Combine like terms: 0.5 + 2 = 2.5
1.5 + 1.5x + -1(2.5) = 0

Multiply -1 * 2.5
1.5 + 1.5x + -2.5 = 0

Reorder the terms:
1.5 + -2.5 + 1.5x = 0

Combine like terms: 1.5 + -2.5 = -1
-1 + 1.5x = 0

Solving
-1 + 1.5x = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 1.5x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 1.5x = 0 + 1
1.5x = 0 + 1

Combine like terms: 0 + 1 = 1
1.5x = 1

Divide each side by '1.5'.
x = 0.6666666667

Simplifying
x = 0.6666666667