-4(x+5)=1.6(3x-12)

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Solution for -4(x+5)=1.6(3x-12) equation:


Simplifying
-4(x + 5) = 1.6(3x + -12)

Reorder the terms:
-4(5 + x) = 1.6(3x + -12)
(5 * -4 + x * -4) = 1.6(3x + -12)
(-20 + -4x) = 1.6(3x + -12)

Reorder the terms:
-20 + -4x = 1.6(-12 + 3x)
-20 + -4x = (-12 * 1.6 + 3x * 1.6)
-20 + -4x = (-19.2 + 4.8x)

Solving
-20 + -4x = -19.2 + 4.8x

Solving for variable 'x'.

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

Add '-4.8x' to each side of the equation.
-20 + -4x + -4.8x = -19.2 + 4.8x + -4.8x

Combine like terms: -4x + -4.8x = -8.8x
-20 + -8.8x = -19.2 + 4.8x + -4.8x

Combine like terms: 4.8x + -4.8x = 0.0
-20 + -8.8x = -19.2 + 0.0
-20 + -8.8x = -19.2

Add '20' to each side of the equation.
-20 + 20 + -8.8x = -19.2 + 20

Combine like terms: -20 + 20 = 0
0 + -8.8x = -19.2 + 20
-8.8x = -19.2 + 20

Combine like terms: -19.2 + 20 = 0.8
-8.8x = 0.8

Divide each side by '-8.8'.
x = -0.09090909091

Simplifying
x = -0.09090909091

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