.3(x+6)=.6(x-9)

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Solution for .3(x+6)=.6(x-9) equation: 


Simplifying
0.3(x + 6) = 0.6(x + -9)

Reorder the terms:
0.3(6 + x) = 0.6(x + -9)
(6 * 0.3 + x * 0.3) = 0.6(x + -9)
(1.8 + 0.3x) = 0.6(x + -9)

Reorder the terms:
1.8 + 0.3x = 0.6(-9 + x)
1.8 + 0.3x = (-9 * 0.6 + x * 0.6)
1.8 + 0.3x = (-5.4 + 0.6x)

Solving
1.8 + 0.3x = -5.4 + 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 + 0.3x + -0.6x = -5.4 + 0.6x + -0.6x

Combine like terms: 0.3x + -0.6x = -0.3x
1.8 + -0.3x = -5.4 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
1.8 + -0.3x = -5.4 + 0.0
1.8 + -0.3x = -5.4

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -0.3x = -5.4 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.3x = -5.4 + -1.8
-0.3x = -5.4 + -1.8

Combine like terms: -5.4 + -1.8 = -7.2
-0.3x = -7.2

Divide each side by '-0.3'.
x = 24

Simplifying
x = 24

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