3.2(x+4)+2.7x=5.4(x+2)

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Solution for 3.2(x+4)+2.7x=5.4(x+2) equation: 


Simplifying
3.2(x + 4) + 2.7x = 5.4(x + 2)

Reorder the terms:
3.2(4 + x) + 2.7x = 5.4(x + 2)
(4 * 3.2 + x * 3.2) + 2.7x = 5.4(x + 2)
(12.8 + 3.2x) + 2.7x = 5.4(x + 2)

Combine like terms: 3.2x + 2.7x = 5.9x
12.8 + 5.9x = 5.4(x + 2)

Reorder the terms:
12.8 + 5.9x = 5.4(2 + x)
12.8 + 5.9x = (2 * 5.4 + x * 5.4)
12.8 + 5.9x = (10.8 + 5.4x)

Solving
12.8 + 5.9x = 10.8 + 5.4x

Solving for variable 'x'.

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

Add '-5.4x' to each side of the equation.
12.8 + 5.9x + -5.4x = 10.8 + 5.4x + -5.4x

Combine like terms: 5.9x + -5.4x = 0.5x
12.8 + 0.5x = 10.8 + 5.4x + -5.4x

Combine like terms: 5.4x + -5.4x = 0.0
12.8 + 0.5x = 10.8 + 0.0
12.8 + 0.5x = 10.8

Add '-12.8' to each side of the equation.
12.8 + -12.8 + 0.5x = 10.8 + -12.8

Combine like terms: 12.8 + -12.8 = 0.0
0.0 + 0.5x = 10.8 + -12.8
0.5x = 10.8 + -12.8

Combine like terms: 10.8 + -12.8 = -2
0.5x = -2

Divide each side by '0.5'.
x = -4

Simplifying
x = -4

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