0.5(x+15)+0.6(x+25)=50

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Solution for 0.5(x+15)+0.6(x+25)=50 equation:


Simplifying
0.5(x + 15) + 0.6(x + 25) = 50

Reorder the terms:
0.5(15 + x) + 0.6(x + 25) = 50
(15 * 0.5 + x * 0.5) + 0.6(x + 25) = 50
(7.5 + 0.5x) + 0.6(x + 25) = 50

Reorder the terms:
7.5 + 0.5x + 0.6(25 + x) = 50
7.5 + 0.5x + (25 * 0.6 + x * 0.6) = 50
7.5 + 0.5x + (15 + 0.6x) = 50

Reorder the terms:
7.5 + 15 + 0.5x + 0.6x = 50

Combine like terms: 7.5 + 15 = 22.5
22.5 + 0.5x + 0.6x = 50

Combine like terms: 0.5x + 0.6x = 1.1x
22.5 + 1.1x = 50

Solving
22.5 + 1.1x = 50

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 = 50 + -22.5

Combine like terms: 22.5 + -22.5 = 0.0
0.0 + 1.1x = 50 + -22.5
1.1x = 50 + -22.5

Combine like terms: 50 + -22.5 = 27.5
1.1x = 27.5

Divide each side by '1.1'.
x = 25

Simplifying
x = 25

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