0.4(x-12)=1.2(x+2)

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Solution for 0.4(x-12)=1.2(x+2) equation: 


Simplifying
0.4(x + -12) = 1.2(x + 2)

Reorder the terms:
0.4(-12 + x) = 1.2(x + 2)
(-12 * 0.4 + x * 0.4) = 1.2(x + 2)
(-4.8 + 0.4x) = 1.2(x + 2)

Reorder the terms:
-4.8 + 0.4x = 1.2(2 + x)
-4.8 + 0.4x = (2 * 1.2 + x * 1.2)
-4.8 + 0.4x = (2.4 + 1.2x)

Solving
-4.8 + 0.4x = 2.4 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
-4.8 + 0.4x + -1.2x = 2.4 + 1.2x + -1.2x

Combine like terms: 0.4x + -1.2x = -0.8x
-4.8 + -0.8x = 2.4 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-4.8 + -0.8x = 2.4 + 0.0
-4.8 + -0.8x = 2.4

Add '4.8' to each side of the equation.
-4.8 + 4.8 + -0.8x = 2.4 + 4.8

Combine like terms: -4.8 + 4.8 = 0.0
0.0 + -0.8x = 2.4 + 4.8
-0.8x = 2.4 + 4.8

Combine like terms: 2.4 + 4.8 = 7.2
-0.8x = 7.2

Divide each side by '-0.8'.
x = -9

Simplifying
x = -9

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