(.20)(24)+(.60)(x)=(.30)(x+24)

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Solution for (.20)(24)+(.60)(x)=(.30)(x+24) equation: 


Simplifying
(0.20)(24) + (0.60)(x) = (0.30)(x + 24)

Multiply 0.20 * 24
4.8 + (0.60)(x) = (0.30)(x + 24)

Reorder the terms:
4.8 + 0.60x = 0.30(24 + x)
4.8 + 0.60x = (24 * 0.30 + x * 0.30)
4.8 + 0.60x = (7.2 + 0.30x)

Solving
4.8 + 0.60x = 7.2 + 0.30x

Solving for variable 'x'.

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

Add '-0.30x' to each side of the equation.
4.8 + 0.60x + -0.30x = 7.2 + 0.30x + -0.30x

Combine like terms: 0.60x + -0.30x = 0.3x
4.8 + 0.3x = 7.2 + 0.30x + -0.30x

Combine like terms: 0.30x + -0.30x = 0.00
4.8 + 0.3x = 7.2 + 0.00
4.8 + 0.3x = 7.2

Add '-4.8' to each side of the equation.
4.8 + -4.8 + 0.3x = 7.2 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 0.3x = 7.2 + -4.8
0.3x = 7.2 + -4.8

Combine like terms: 7.2 + -4.8 = 2.4
0.3x = 2.4

Divide each side by '0.3'.
x = 8

Simplifying
x = 8

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