-0.4(3x+8)=1.2x-8

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Solution for -0.4(3x+8)=1.2x-8 equation: 


Simplifying
-0.4(3x + 8) = 1.2x + -8

Reorder the terms:
-0.4(8 + 3x) = 1.2x + -8
(8 * -0.4 + 3x * -0.4) = 1.2x + -8
(-3.2 + -1.2x) = 1.2x + -8

Reorder the terms:
-3.2 + -1.2x = -8 + 1.2x

Solving
-3.2 + -1.2x = -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.
-3.2 + -1.2x + -1.2x = -8 + 1.2x + -1.2x

Combine like terms: -1.2x + -1.2x = -2.4x
-3.2 + -2.4x = -8 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-3.2 + -2.4x = -8 + 0.0
-3.2 + -2.4x = -8

Add '3.2' to each side of the equation.
-3.2 + 3.2 + -2.4x = -8 + 3.2

Combine like terms: -3.2 + 3.2 = 0.0
0.0 + -2.4x = -8 + 3.2
-2.4x = -8 + 3.2

Combine like terms: -8 + 3.2 = -4.8
-2.4x = -4.8

Divide each side by '-2.4'.
x = 2

Simplifying
x = 2

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