4x+12.8=2.4(2x-6)

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Solution for 4x+12.8=2.4(2x-6) equation: 


Simplifying
4x + 12.8 = 2.4(2x + -6)

Reorder the terms:
12.8 + 4x = 2.4(2x + -6)

Reorder the terms:
12.8 + 4x = 2.4(-6 + 2x)
12.8 + 4x = (-6 * 2.4 + 2x * 2.4)
12.8 + 4x = (-14.4 + 4.8x)

Solving
12.8 + 4x = -14.4 + 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.
12.8 + 4x + -4.8x = -14.4 + 4.8x + -4.8x

Combine like terms: 4x + -4.8x = -0.8x
12.8 + -0.8x = -14.4 + 4.8x + -4.8x

Combine like terms: 4.8x + -4.8x = 0.0
12.8 + -0.8x = -14.4 + 0.0
12.8 + -0.8x = -14.4

Add '-12.8' to each side of the equation.
12.8 + -12.8 + -0.8x = -14.4 + -12.8

Combine like terms: 12.8 + -12.8 = 0.0
0.0 + -0.8x = -14.4 + -12.8
-0.8x = -14.4 + -12.8

Combine like terms: -14.4 + -12.8 = -27.2
-0.8x = -27.2

Divide each side by '-0.8'.
x = 34

Simplifying
x = 34

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