0.4(x-12)=1.2(x+4)

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Solution for 0.4(x-12)=1.2(x+4) equation: 


Simplifying
0.4(x + -12) = 1.2(x + 4)

Reorder the terms:
0.4(-12 + x) = 1.2(x + 4)
(-12 * 0.4 + x * 0.4) = 1.2(x + 4)
(-4.8 + 0.4x) = 1.2(x + 4)

Reorder the terms:
-4.8 + 0.4x = 1.2(4 + x)
-4.8 + 0.4x = (4 * 1.2 + x * 1.2)
-4.8 + 0.4x = (4.8 + 1.2x)

Solving
-4.8 + 0.4x = 4.8 + 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 = 4.8 + 1.2x + -1.2x

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

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

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

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

Combine like terms: 4.8 + 4.8 = 9.6
-0.8x = 9.6

Divide each side by '-0.8'.
x = -12

Simplifying
x = -12

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