.66(3x+5)-.25(2x-4)=.50(x+6)

Solution for .66(3x+5)-.25(2x-4)=.50(x+6) equation:

Simplifying
0.66(3x + 5) + -0.25(2x + -4) = 0.50(x + 6)

Reorder the terms:
0.66(5 + 3x) + -0.25(2x + -4) = 0.50(x + 6)
(5 * 0.66 + 3x * 0.66) + -0.25(2x + -4) = 0.50(x + 6)
(3.3 + 1.98x) + -0.25(2x + -4) = 0.50(x + 6)

Reorder the terms:
3.3 + 1.98x + -0.25(-4 + 2x) = 0.50(x + 6)
3.3 + 1.98x + (-4 * -0.25 + 2x * -0.25) = 0.50(x + 6)
3.3 + 1.98x + (1 + -0.5x) = 0.50(x + 6)

Reorder the terms:
3.3 + 1 + 1.98x + -0.5x = 0.50(x + 6)

Combine like terms: 3.3 + 1 = 4.3
4.3 + 1.98x + -0.5x = 0.50(x + 6)

Combine like terms: 1.98x + -0.5x = 1.48x
4.3 + 1.48x = 0.50(x + 6)

Reorder the terms:
4.3 + 1.48x = 0.50(6 + x)
4.3 + 1.48x = (6 * 0.50 + x * 0.50)
4.3 + 1.48x = (3 + 0.50x)

Solving
4.3 + 1.48x = 3 + 0.50x

Solving for variable 'x'.

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

Add '-0.50x' to each side of the equation.
4.3 + 1.48x + -0.50x = 3 + 0.50x + -0.50x

Combine like terms: 1.48x + -0.50x = 0.98x
4.3 + 0.98x = 3 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
4.3 + 0.98x = 3 + 0.00
4.3 + 0.98x = 3

Add '-4.3' to each side of the equation.
4.3 + -4.3 + 0.98x = 3 + -4.3

Combine like terms: 4.3 + -4.3 = 0.0
0.0 + 0.98x = 3 + -4.3
0.98x = 3 + -4.3

Combine like terms: 3 + -4.3 = -1.3
0.98x = -1.3

Divide each side by '0.98'.
x = -1.326530612

Simplifying
x = -1.326530612