0.9(9x+5)=1.6-(x-5)

Solution for 0.9(9x+5)=1.6-(x-5) equation:

Simplifying
0.9(9x + 5) = 1.6 + -1(x + -5)

Reorder the terms:
0.9(5 + 9x) = 1.6 + -1(x + -5)
(5 * 0.9 + 9x * 0.9) = 1.6 + -1(x + -5)
(4.5 + 8.1x) = 1.6 + -1(x + -5)

Reorder the terms:
4.5 + 8.1x = 1.6 + -1(-5 + x)
4.5 + 8.1x = 1.6 + (-5 * -1 + x * -1)
4.5 + 8.1x = 1.6 + (5 + -1x)

Combine like terms: 1.6 + 5 = 6.6
4.5 + 8.1x = 6.6 + -1x

Solving
4.5 + 8.1x = 6.6 + -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 + 8.1x + x = 6.6 + -1x + x

Combine like terms: 8.1x + x = 9.1x
4.5 + 9.1x = 6.6 + -1x + x

Combine like terms: -1x + x = 0
4.5 + 9.1x = 6.6 + 0
4.5 + 9.1x = 6.6

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 9.1x = 6.6 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 9.1x = 6.6 + -4.5
9.1x = 6.6 + -4.5

Combine like terms: 6.6 + -4.5 = 2.1
9.1x = 2.1

Divide each side by '9.1'.
x = 0.2307692308

Simplifying
x = 0.2307692308