.5(6x+9)=1.6-(x-3)

Solution for .5(6x+9)=1.6-(x-3) equation:

Simplifying
0.5(6x + 9) = 1.6 + -1(x + -3)

Reorder the terms:
0.5(9 + 6x) = 1.6 + -1(x + -3)
(9 * 0.5 + 6x * 0.5) = 1.6 + -1(x + -3)
(4.5 + 3x) = 1.6 + -1(x + -3)

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

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

Solving
4.5 + 3x = 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 + 3x + x = 4.6 + -1x + x

Combine like terms: 3x + x = 4x
4.5 + 4x = 4.6 + -1x + x

Combine like terms: -1x + x = 0
4.5 + 4x = 4.6 + 0
4.5 + 4x = 4.6

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 4x = 4.6 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 4x = 4.6 + -4.5
4x = 4.6 + -4.5

Combine like terms: 4.6 + -4.5 = 0.1
4x = 0.1

Divide each side by '4'.
x = 0.025

Simplifying
x = 0.025