0.9(4X+5)=1.6-(X-3)

Solution for 0.9(4X+5)=1.6-(X-3) equation:

Simplifying
0.9(4X + 5) = 1.6 + -1(X + -3)

Reorder the terms:
0.9(5 + 4X) = 1.6 + -1(X + -3)
(5 * 0.9 + 4X * 0.9) = 1.6 + -1(X + -3)
(4.5 + 3.6X) = 1.6 + -1(X + -3)

Reorder the terms:
4.5 + 3.6X = 1.6 + -1(-3 + X)
4.5 + 3.6X = 1.6 + (-3 * -1 + X * -1)
4.5 + 3.6X = 1.6 + (3 + -1X)

Combine like terms: 1.6 + 3 = 4.6
4.5 + 3.6X = 4.6 + -1X

Solving
4.5 + 3.6X = 4.6 + -1X

Solving for variable 'X'.

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

Add 'X' to each side of the equation.
4.5 + 3.6X + X = 4.6 + -1X + X

Combine like terms: 3.6X + X = 4.6X
4.5 + 4.6X = 4.6 + -1X + X

Combine like terms: -1X + X = 0
4.5 + 4.6X = 4.6 + 0
4.5 + 4.6X = 4.6

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 4.6X = 4.6 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 4.6X = 4.6 + -4.5
4.6X = 4.6 + -4.5

Combine like terms: 4.6 + -4.5 = 0.1
4.6X = 0.1

Divide each side by '4.6'.
X = 0.02173913043

Simplifying
X = 0.02173913043