.6(4x+6)=2(3-4x)+8

Solution for .6(4x+6)=2(3-4x)+8 equation:

Simplifying
0.6(4x + 6) = 2(3 + -4x) + 8

Reorder the terms:
0.6(6 + 4x) = 2(3 + -4x) + 8
(6 * 0.6 + 4x * 0.6) = 2(3 + -4x) + 8
(3.6 + 2.4x) = 2(3 + -4x) + 8
3.6 + 2.4x = (3 * 2 + -4x * 2) + 8
3.6 + 2.4x = (6 + -8x) + 8

Reorder the terms:
3.6 + 2.4x = 6 + 8 + -8x

Combine like terms: 6 + 8 = 14
3.6 + 2.4x = 14 + -8x

Solving
3.6 + 2.4x = 14 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
3.6 + 2.4x + 8x = 14 + -8x + 8x

Combine like terms: 2.4x + 8x = 10.4x
3.6 + 10.4x = 14 + -8x + 8x

Combine like terms: -8x + 8x = 0
3.6 + 10.4x = 14 + 0
3.6 + 10.4x = 14

Add '-3.6' to each side of the equation.
3.6 + -3.6 + 10.4x = 14 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + 10.4x = 14 + -3.6
10.4x = 14 + -3.6

Combine like terms: 14 + -3.6 = 10.4
10.4x = 10.4

Divide each side by '10.4'.
x = 1

Simplifying
x = 1