(.10)(20)+.30X=(.20)(20+X)

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Solution for (.10)(20)+.30X=(.20)(20+X) equation:


Simplifying
(0.10)(20) + 0.30X = (0.20)(20 + X)

Multiply 0.10 * 20
2 + 0.30X = (0.20)(20 + X)
2 + 0.30X = (20 * 0.20 + X * 0.20)
2 + 0.30X = (4 + 0.20X)

Solving
2 + 0.30X = 4 + 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.
2 + 0.30X + -0.20X = 4 + 0.20X + -0.20X

Combine like terms: 0.30X + -0.20X = 0.1X
2 + 0.1X = 4 + 0.20X + -0.20X

Combine like terms: 0.20X + -0.20X = 0.00
2 + 0.1X = 4 + 0.00
2 + 0.1X = 4

Add '-2' to each side of the equation.
2 + -2 + 0.1X = 4 + -2

Combine like terms: 2 + -2 = 0
0 + 0.1X = 4 + -2
0.1X = 4 + -2

Combine like terms: 4 + -2 = 2
0.1X = 2

Divide each side by '0.1'.
X = 20

Simplifying
X = 20

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