(.10)(30)+.40X=(.20)(30+X)

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Solution for (.10)(30)+.40X=(.20)(30+X) equation:


Simplifying
(0.10)(30) + 0.40X = (0.20)(30 + X)

Multiply 0.10 * 30
3 + 0.40X = (0.20)(30 + X)
3 + 0.40X = (30 * 0.20 + X * 0.20)
3 + 0.40X = (6 + 0.20X)

Solving
3 + 0.40X = 6 + 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.
3 + 0.40X + -0.20X = 6 + 0.20X + -0.20X

Combine like terms: 0.40X + -0.20X = 0.2X
3 + 0.2X = 6 + 0.20X + -0.20X

Combine like terms: 0.20X + -0.20X = 0.00
3 + 0.2X = 6 + 0.00
3 + 0.2X = 6

Add '-3' to each side of the equation.
3 + -3 + 0.2X = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 0.2X = 6 + -3
0.2X = 6 + -3

Combine like terms: 6 + -3 = 3
0.2X = 3

Divide each side by '0.2'.
X = 15

Simplifying
X = 15

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