0.3x-0.4(12-5x)=-0.7(x-6)

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Solution for 0.3x-0.4(12-5x)=-0.7(x-6) equation: 


Simplifying
0.3x + -0.4(12 + -5x) = -0.7(x + -6)
0.3x + (12 * -0.4 + -5x * -0.4) = -0.7(x + -6)
0.3x + (-4.8 + 2x) = -0.7(x + -6)

Reorder the terms:
-4.8 + 0.3x + 2x = -0.7(x + -6)

Combine like terms: 0.3x + 2x = 2.3x
-4.8 + 2.3x = -0.7(x + -6)

Reorder the terms:
-4.8 + 2.3x = -0.7(-6 + x)
-4.8 + 2.3x = (-6 * -0.7 + x * -0.7)
-4.8 + 2.3x = (4.2 + -0.7x)

Solving
-4.8 + 2.3x = 4.2 + -0.7x

Solving for variable 'x'.

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

Add '0.7x' to each side of the equation.
-4.8 + 2.3x + 0.7x = 4.2 + -0.7x + 0.7x

Combine like terms: 2.3x + 0.7x = 3x
-4.8 + 3x = 4.2 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
-4.8 + 3x = 4.2 + 0.0
-4.8 + 3x = 4.2

Add '4.8' to each side of the equation.
-4.8 + 4.8 + 3x = 4.2 + 4.8

Combine like terms: -4.8 + 4.8 = 0.0
0.0 + 3x = 4.2 + 4.8
3x = 4.2 + 4.8

Combine like terms: 4.2 + 4.8 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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