0.3(x+15)+0.6(x+25)=42

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Solution for 0.3(x+15)+0.6(x+25)=42 equation: 


Simplifying
0.3(x + 15) + 0.6(x + 25) = 42

Reorder the terms:
0.3(15 + x) + 0.6(x + 25) = 42
(15 * 0.3 + x * 0.3) + 0.6(x + 25) = 42
(4.5 + 0.3x) + 0.6(x + 25) = 42

Reorder the terms:
4.5 + 0.3x + 0.6(25 + x) = 42
4.5 + 0.3x + (25 * 0.6 + x * 0.6) = 42
4.5 + 0.3x + (15 + 0.6x) = 42

Reorder the terms:
4.5 + 15 + 0.3x + 0.6x = 42

Combine like terms: 4.5 + 15 = 19.5
19.5 + 0.3x + 0.6x = 42

Combine like terms: 0.3x + 0.6x = 0.9x
19.5 + 0.9x = 42

Solving
19.5 + 0.9x = 42

Solving for variable 'x'.

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

Add '-19.5' to each side of the equation.
19.5 + -19.5 + 0.9x = 42 + -19.5

Combine like terms: 19.5 + -19.5 = 0.0
0.0 + 0.9x = 42 + -19.5
0.9x = 42 + -19.5

Combine like terms: 42 + -19.5 = 22.5
0.9x = 22.5

Divide each side by '0.9'.
x = 25

Simplifying
x = 25

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