0.4(x+3)=0.3(x-6)

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Solution for 0.4(x+3)=0.3(x-6) equation: 


Simplifying
0.4(x + 3) = 0.3(x + -6)

Reorder the terms:
0.4(3 + x) = 0.3(x + -6)
(3 * 0.4 + x * 0.4) = 0.3(x + -6)
(1.2 + 0.4x) = 0.3(x + -6)

Reorder the terms:
1.2 + 0.4x = 0.3(-6 + x)
1.2 + 0.4x = (-6 * 0.3 + x * 0.3)
1.2 + 0.4x = (-1.8 + 0.3x)

Solving
1.2 + 0.4x = -1.8 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
1.2 + 0.4x + -0.3x = -1.8 + 0.3x + -0.3x

Combine like terms: 0.4x + -0.3x = 0.1x
1.2 + 0.1x = -1.8 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
1.2 + 0.1x = -1.8 + 0.0
1.2 + 0.1x = -1.8

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.1x = -1.8 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.1x = -1.8 + -1.2
0.1x = -1.8 + -1.2

Combine like terms: -1.8 + -1.2 = -3
0.1x = -3

Divide each side by '0.1'.
x = -30

Simplifying
x = -30

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