(.10)(15)+.40X=(.30)(15+X)

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Solution for (.10)(15)+.40X=(.30)(15+X) equation: 


Simplifying
(0.10)(15) + 0.40X = (0.30)(15 + X)

Multiply 0.10 * 15
1.5 + 0.40X = (0.30)(15 + X)
1.5 + 0.40X = (15 * 0.30 + X * 0.30)
1.5 + 0.40X = (4.5 + 0.30X)

Solving
1.5 + 0.40X = 4.5 + 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.
1.5 + 0.40X + -0.30X = 4.5 + 0.30X + -0.30X

Combine like terms: 0.40X + -0.30X = 0.1X
1.5 + 0.1X = 4.5 + 0.30X + -0.30X

Combine like terms: 0.30X + -0.30X = 0.00
1.5 + 0.1X = 4.5 + 0.00
1.5 + 0.1X = 4.5

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 0.1X = 4.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.1X = 4.5 + -1.5
0.1X = 4.5 + -1.5

Combine like terms: 4.5 + -1.5 = 3
0.1X = 3

Divide each side by '0.1'.
X = 30

Simplifying
X = 30

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