0.4x-0.2(12-4x)=-0.8(x-7)

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Solution for 0.4x-0.2(12-4x)=-0.8(x-7) equation: 


Simplifying
0.4x + -0.2(12 + -4x) = -0.8(x + -7)
0.4x + (12 * -0.2 + -4x * -0.2) = -0.8(x + -7)
0.4x + (-2.4 + 0.8x) = -0.8(x + -7)

Reorder the terms:
-2.4 + 0.4x + 0.8x = -0.8(x + -7)

Combine like terms: 0.4x + 0.8x = 1.2x
-2.4 + 1.2x = -0.8(x + -7)

Reorder the terms:
-2.4 + 1.2x = -0.8(-7 + x)
-2.4 + 1.2x = (-7 * -0.8 + x * -0.8)
-2.4 + 1.2x = (5.6 + -0.8x)

Solving
-2.4 + 1.2x = 5.6 + -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
-2.4 + 1.2x + 0.8x = 5.6 + -0.8x + 0.8x

Combine like terms: 1.2x + 0.8x = 2x
-2.4 + 2x = 5.6 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-2.4 + 2x = 5.6 + 0.0
-2.4 + 2x = 5.6

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 2x = 5.6 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 2x = 5.6 + 2.4
2x = 5.6 + 2.4

Combine like terms: 5.6 + 2.4 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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