0.3(x-6)+0.5=0.6(x+6)

Solution for 0.3(x-6)+0.5=0.6(x+6) equation:

Simplifying
0.3(x + -6) + 0.5 = 0.6(x + 6)

Reorder the terms:
0.3(-6 + x) + 0.5 = 0.6(x + 6)
(-6 * 0.3 + x * 0.3) + 0.5 = 0.6(x + 6)
(-1.8 + 0.3x) + 0.5 = 0.6(x + 6)

Reorder the terms:
-1.8 + 0.5 + 0.3x = 0.6(x + 6)

Combine like terms: -1.8 + 0.5 = -1.3
-1.3 + 0.3x = 0.6(x + 6)

Reorder the terms:
-1.3 + 0.3x = 0.6(6 + x)
-1.3 + 0.3x = (6 * 0.6 + x * 0.6)
-1.3 + 0.3x = (3.6 + 0.6x)

Solving
-1.3 + 0.3x = 3.6 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
-1.3 + 0.3x + -0.6x = 3.6 + 0.6x + -0.6x

Combine like terms: 0.3x + -0.6x = -0.3x
-1.3 + -0.3x = 3.6 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
-1.3 + -0.3x = 3.6 + 0.0
-1.3 + -0.3x = 3.6

Add '1.3' to each side of the equation.
-1.3 + 1.3 + -0.3x = 3.6 + 1.3

Combine like terms: -1.3 + 1.3 = 0.0
0.0 + -0.3x = 3.6 + 1.3
-0.3x = 3.6 + 1.3

Combine like terms: 3.6 + 1.3 = 4.9
-0.3x = 4.9

Divide each side by '-0.3'.
x = -16.33333333

Simplifying
x = -16.33333333