(15)(0.30)+0.5x=0.20(x+15)

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Solution for (15)(0.30)+0.5x=0.20(x+15) equation: 


Simplifying
(15)(0.30) + 0.5x = 0.20(x + 15)

Multiply 15 * 0.30
4.5 + 0.5x = 0.20(x + 15)

Reorder the terms:
4.5 + 0.5x = 0.20(15 + x)
4.5 + 0.5x = (15 * 0.20 + x * 0.20)
4.5 + 0.5x = (3 + 0.20x)

Solving
4.5 + 0.5x = 3 + 0.20x

Solving for variable 'x'.

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

Add '-0.20x' to each side of the equation.
4.5 + 0.5x + -0.20x = 3 + 0.20x + -0.20x

Combine like terms: 0.5x + -0.20x = 0.3x
4.5 + 0.3x = 3 + 0.20x + -0.20x

Combine like terms: 0.20x + -0.20x = 0.00
4.5 + 0.3x = 3 + 0.00
4.5 + 0.3x = 3

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 0.3x = 3 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 0.3x = 3 + -4.5
0.3x = 3 + -4.5

Combine like terms: 3 + -4.5 = -1.5
0.3x = -1.5

Divide each side by '0.3'.
x = -5

Simplifying
x = -5

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