28.8+x*6=(6+x)(5.4)

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Solution for 28.8+x*6=(6+x)(5.4) equation: 


Simplifying
28.8 + x * 6 = (6 + x)(5.4)

Reorder the terms for easier multiplication:
28.8 + 6x = (6 + x)(5.4)

Reorder the terms for easier multiplication:
28.8 + 6x = 5.4(6 + x)
28.8 + 6x = (6 * 5.4 + x * 5.4)
28.8 + 6x = (32.4 + 5.4x)

Solving
28.8 + 6x = 32.4 + 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.
28.8 + 6x + -5.4x = 32.4 + 5.4x + -5.4x

Combine like terms: 6x + -5.4x = 0.6x
28.8 + 0.6x = 32.4 + 5.4x + -5.4x

Combine like terms: 5.4x + -5.4x = 0.0
28.8 + 0.6x = 32.4 + 0.0
28.8 + 0.6x = 32.4

Add '-28.8' to each side of the equation.
28.8 + -28.8 + 0.6x = 32.4 + -28.8

Combine like terms: 28.8 + -28.8 = 0.0
0.0 + 0.6x = 32.4 + -28.8
0.6x = 32.4 + -28.8

Combine like terms: 32.4 + -28.8 = 3.6
0.6x = 3.6

Divide each side by '0.6'.
x = 6

Simplifying
x = 6

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