(0.30)15+(0.05)x=0.20(15+x)

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Solution for (0.30)15+(0.05)x=0.20(15+x) equation: 


Simplifying
(0.30) * 15 + (0.05) * x = 0.20(15 + x)

Multiply 0.30 * 15
4.5 + (0.05) * x = 0.20(15 + x)
4.5 + 0.05x = (15 * 0.20 + x * 0.20)
4.5 + 0.05x = (3 + 0.20x)

Solving
4.5 + 0.05x = 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 + 0.05x + -0.20x = 3 + 0.20x + -0.20x

Combine like terms: 0.05x + -0.20x = -0.15x
4.5 + -0.15x = 3 + 0.20x + -0.20x

Combine like terms: 0.20x + -0.20x = 0.00
4.5 + -0.15x = 3 + 0.00
4.5 + -0.15x = 3

Add '-4.5' to each side of the equation.
4.5 + -4.5 + -0.15x = 3 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -0.15x = 3 + -4.5
-0.15x = 3 + -4.5

Combine like terms: 3 + -4.5 = -1.5
-0.15x = -1.5

Divide each side by '-0.15'.
x = 10

Simplifying
x = 10

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