1.2(16x-8)-3.6(3x+9)=2.4(4x-16)-9.6

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Solution for 1.2(16x-8)-3.6(3x+9)=2.4(4x-16)-9.6 equation: 


Simplifying
1.2(16x + -8) + -3.6(3x + 9) = 2.4(4x + -16) + -9.6

Reorder the terms:
1.2(-8 + 16x) + -3.6(3x + 9) = 2.4(4x + -16) + -9.6
(-8 * 1.2 + 16x * 1.2) + -3.6(3x + 9) = 2.4(4x + -16) + -9.6
(-9.6 + 19.2x) + -3.6(3x + 9) = 2.4(4x + -16) + -9.6

Reorder the terms:
-9.6 + 19.2x + -3.6(9 + 3x) = 2.4(4x + -16) + -9.6
-9.6 + 19.2x + (9 * -3.6 + 3x * -3.6) = 2.4(4x + -16) + -9.6
-9.6 + 19.2x + (-32.4 + -10.8x) = 2.4(4x + -16) + -9.6

Reorder the terms:
-9.6 + -32.4 + 19.2x + -10.8x = 2.4(4x + -16) + -9.6

Combine like terms: -9.6 + -32.4 = -42
-42 + 19.2x + -10.8x = 2.4(4x + -16) + -9.6

Combine like terms: 19.2x + -10.8x = 8.4x
-42 + 8.4x = 2.4(4x + -16) + -9.6

Reorder the terms:
-42 + 8.4x = 2.4(-16 + 4x) + -9.6
-42 + 8.4x = (-16 * 2.4 + 4x * 2.4) + -9.6
-42 + 8.4x = (-38.4 + 9.6x) + -9.6

Reorder the terms:
-42 + 8.4x = -38.4 + -9.6 + 9.6x

Combine like terms: -38.4 + -9.6 = -48
-42 + 8.4x = -48 + 9.6x

Solving
-42 + 8.4x = -48 + 9.6x

Solving for variable 'x'.

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

Add '-9.6x' to each side of the equation.
-42 + 8.4x + -9.6x = -48 + 9.6x + -9.6x

Combine like terms: 8.4x + -9.6x = -1.2x
-42 + -1.2x = -48 + 9.6x + -9.6x

Combine like terms: 9.6x + -9.6x = 0.0
-42 + -1.2x = -48 + 0.0
-42 + -1.2x = -48

Add '42' to each side of the equation.
-42 + 42 + -1.2x = -48 + 42

Combine like terms: -42 + 42 = 0
0 + -1.2x = -48 + 42
-1.2x = -48 + 42

Combine like terms: -48 + 42 = -6
-1.2x = -6

Divide each side by '-1.2'.
x = 5

Simplifying
x = 5

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