.9(9x+6)=2.5-(x-3)

Solution for .9(9x+6)=2.5-(x-3) equation:

Simplifying
0.9(9x + 6) = 2.5 + -1(x + -3)

Reorder the terms:
0.9(6 + 9x) = 2.5 + -1(x + -3)
(6 * 0.9 + 9x * 0.9) = 2.5 + -1(x + -3)
(5.4 + 8.1x) = 2.5 + -1(x + -3)

Reorder the terms:
5.4 + 8.1x = 2.5 + -1(-3 + x)
5.4 + 8.1x = 2.5 + (-3 * -1 + x * -1)
5.4 + 8.1x = 2.5 + (3 + -1x)

Combine like terms: 2.5 + 3 = 5.5
5.4 + 8.1x = 5.5 + -1x

Solving
5.4 + 8.1x = 5.5 + -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.
5.4 + 8.1x + x = 5.5 + -1x + x

Combine like terms: 8.1x + x = 9.1x
5.4 + 9.1x = 5.5 + -1x + x

Combine like terms: -1x + x = 0
5.4 + 9.1x = 5.5 + 0
5.4 + 9.1x = 5.5

Add '-5.4' to each side of the equation.
5.4 + -5.4 + 9.1x = 5.5 + -5.4

Combine like terms: 5.4 + -5.4 = 0.0
0.0 + 9.1x = 5.5 + -5.4
9.1x = 5.5 + -5.4

Combine like terms: 5.5 + -5.4 = 0.1
9.1x = 0.1

Divide each side by '9.1'.
x = 0.01098901099

Simplifying
x = 0.01098901099