0.2[x+3]=0.6[x-3]

Solution for 0.2[x+3]=0.6[x-3] equation:

Simplifying
0.2[x + 3] = 0.6[x + -3]

Reorder the terms:
0.2[3 + x] = 0.6[x + -3]
[3 * 0.2 + x * 0.2] = 0.6[x + -3]
[0.6 + 0.2x] = 0.6[x + -3]

Reorder the terms:
0.6 + 0.2x = 0.6[-3 + x]
0.6 + 0.2x = [-3 * 0.6 + x * 0.6]
0.6 + 0.2x = [-1.8 + 0.6x]

Solving
0.6 + 0.2x = -1.8 + 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.
0.6 + 0.2x + -0.6x = -1.8 + 0.6x + -0.6x

Combine like terms: 0.2x + -0.6x = -0.4x
0.6 + -0.4x = -1.8 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
0.6 + -0.4x = -1.8 + 0.0
0.6 + -0.4x = -1.8

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -0.4x = -1.8 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.4x = -1.8 + -0.6
-0.4x = -1.8 + -0.6

Combine like terms: -1.8 + -0.6 = -2.4
-0.4x = -2.4

Divide each side by '-0.4'.
x = 6

Simplifying
x = 6