0.5(x+15)+0.6(x+25)=28

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Solution for 0.5(x+15)+0.6(x+25)=28 equation: 


Simplifying
0.5(x + 15) + 0.6(x + 25) = 28

Reorder the terms:
0.5(15 + x) + 0.6(x + 25) = 28
(15 * 0.5 + x * 0.5) + 0.6(x + 25) = 28
(7.5 + 0.5x) + 0.6(x + 25) = 28

Reorder the terms:
7.5 + 0.5x + 0.6(25 + x) = 28
7.5 + 0.5x + (25 * 0.6 + x * 0.6) = 28
7.5 + 0.5x + (15 + 0.6x) = 28

Reorder the terms:
7.5 + 15 + 0.5x + 0.6x = 28

Combine like terms: 7.5 + 15 = 22.5
22.5 + 0.5x + 0.6x = 28

Combine like terms: 0.5x + 0.6x = 1.1x
22.5 + 1.1x = 28

Solving
22.5 + 1.1x = 28

Solving for variable 'x'.

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

Add '-22.5' to each side of the equation.
22.5 + -22.5 + 1.1x = 28 + -22.5

Combine like terms: 22.5 + -22.5 = 0.0
0.0 + 1.1x = 28 + -22.5
1.1x = 28 + -22.5

Combine like terms: 28 + -22.5 = 5.5
1.1x = 5.5

Divide each side by '1.1'.
x = 5

Simplifying
x = 5

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