6(6.2-x)=5(x+4.8)

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Solution for 6(6.2-x)=5(x+4.8) equation: 


Simplifying
6(6.2 + -1x) = 5(x + 4.8)
(6.2 * 6 + -1x * 6) = 5(x + 4.8)
(37.2 + -6x) = 5(x + 4.8)

Reorder the terms:
37.2 + -6x = 5(4.8 + x)
37.2 + -6x = (4.8 * 5 + x * 5)
37.2 + -6x = (24 + 5x)

Solving
37.2 + -6x = 24 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
37.2 + -6x + -5x = 24 + 5x + -5x

Combine like terms: -6x + -5x = -11x
37.2 + -11x = 24 + 5x + -5x

Combine like terms: 5x + -5x = 0
37.2 + -11x = 24 + 0
37.2 + -11x = 24

Add '-37.2' to each side of the equation.
37.2 + -37.2 + -11x = 24 + -37.2

Combine like terms: 37.2 + -37.2 = 0.0
0.0 + -11x = 24 + -37.2
-11x = 24 + -37.2

Combine like terms: 24 + -37.2 = -13.2
-11x = -13.2

Divide each side by '-11'.
x = 1.2

Simplifying
x = 1.2

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