0.6(6+x)=0.4(8-x)

Solution for 0.6(6+x)=0.4(8-x) equation:

Simplifying
0.6(6 + x) = 0.4(8 + -1x)
(6 * 0.6 + x * 0.6) = 0.4(8 + -1x)
(3.6 + 0.6x) = 0.4(8 + -1x)
3.6 + 0.6x = (8 * 0.4 + -1x * 0.4)
3.6 + 0.6x = (3.2 + -0.4x)

Solving
3.6 + 0.6x = 3.2 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
3.6 + 0.6x + 0.4x = 3.2 + -0.4x + 0.4x

Combine like terms: 0.6x + 0.4x = 1x
3.6 + 1x = 3.2 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
3.6 + 1x = 3.2 + 0.0
3.6 + 1x = 3.2

Add '-3.6' to each side of the equation.
3.6 + -3.6 + 1x = 3.2 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + 1x = 3.2 + -3.6
1x = 3.2 + -3.6

Combine like terms: 3.2 + -3.6 = -0.4
1x = -0.4

Divide each side by '1'.
x = -0.4

Simplifying
x = -0.4