(.25*42)+(60*x)=((x+.25)*54)

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Solution for (.25*42)+(60*x)=((x+.25)*54) equation:


Simplifying
(0.25 * 42) + (60x) = ((x + 0.25) * 54)

Multiply 0.25 * 42
(10.5) + (60x) = ((x + 0.25) * 54)
10.5 + (60x) = ((x + 0.25) * 54)

Reorder the terms:
10.5 + (60x) = ((0.25 + x) * 54)

Reorder the terms for easier multiplication:
10.5 + (60x) = (54(0.25 + x))
10.5 + (60x) = ((0.25 * 54 + x * 54))
10.5 + (60x) = ((13.5 + 54x))
10.5 + (60x) = (13.5 + 54x)

Remove parenthesis around (13.5 + 54x)
10.5 + (60x) = 13.5 + 54x

Solving
10.5 + (60x) = 13.5 + 54x

Solving for variable 'x'.

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

Add '-54x' to each side of the equation.
10.5 + (60x) + -54x = 13.5 + 54x + -54x

Combine like terms: (60x) + -54x = 6x
10.5 + 6x = 13.5 + 54x + -54x

Combine like terms: 54x + -54x = 0
10.5 + 6x = 13.5 + 0
10.5 + 6x = 13.5

Add '-10.5' to each side of the equation.
10.5 + -10.5 + 6x = 13.5 + -10.5

Combine like terms: 10.5 + -10.5 = 0.0
0.0 + 6x = 13.5 + -10.5
6x = 13.5 + -10.5

Combine like terms: 13.5 + -10.5 = 3
6x = 3

Divide each side by '6'.
x = 0.5

Simplifying
x = 0.5

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