0.3(X+5)+0.6(X+25)=30

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Solution for 0.3(X+5)+0.6(X+25)=30 equation:


Simplifying
0.3(X + 5) + 0.6(X + 25) = 30

Reorder the terms:
0.3(5 + X) + 0.6(X + 25) = 30
(5 * 0.3 + X * 0.3) + 0.6(X + 25) = 30
(1.5 + 0.3X) + 0.6(X + 25) = 30

Reorder the terms:
1.5 + 0.3X + 0.6(25 + X) = 30
1.5 + 0.3X + (25 * 0.6 + X * 0.6) = 30
1.5 + 0.3X + (15 + 0.6X) = 30

Reorder the terms:
1.5 + 15 + 0.3X + 0.6X = 30

Combine like terms: 1.5 + 15 = 16.5
16.5 + 0.3X + 0.6X = 30

Combine like terms: 0.3X + 0.6X = 0.9X
16.5 + 0.9X = 30

Solving
16.5 + 0.9X = 30

Solving for variable 'X'.

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

Add '-16.5' to each side of the equation.
16.5 + -16.5 + 0.9X = 30 + -16.5

Combine like terms: 16.5 + -16.5 = 0.0
0.0 + 0.9X = 30 + -16.5
0.9X = 30 + -16.5

Combine like terms: 30 + -16.5 = 13.5
0.9X = 13.5

Divide each side by '0.9'.
X = 15

Simplifying
X = 15

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