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

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


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

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

Combine like terms: 0.3x + 0.5x = 0.8x
-1.8 + 0.8x = 0.6(x + 6)

Reorder the terms:
-1.8 + 0.8x = 0.6(6 + x)
-1.8 + 0.8x = (6 * 0.6 + x * 0.6)
-1.8 + 0.8x = (3.6 + 0.6x)

Solving
-1.8 + 0.8x = 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.
-1.8 + 0.8x + -0.6x = 3.6 + 0.6x + -0.6x

Combine like terms: 0.8x + -0.6x = 0.2x
-1.8 + 0.2x = 3.6 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
-1.8 + 0.2x = 3.6 + 0.0
-1.8 + 0.2x = 3.6

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 0.2x = 3.6 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 0.2x = 3.6 + 1.8
0.2x = 3.6 + 1.8

Combine like terms: 3.6 + 1.8 = 5.4
0.2x = 5.4

Divide each side by '0.2'.
x = 27

Simplifying
x = 27

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