0.5(x+5)+0.6(x+25)=45

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Solution for 0.5(x+5)+0.6(x+25)=45 equation: 


Simplifying
0.5(x + 5) + 0.6(x + 25) = 45

Reorder the terms:
0.5(5 + x) + 0.6(x + 25) = 45
(5 * 0.5 + x * 0.5) + 0.6(x + 25) = 45
(2.5 + 0.5x) + 0.6(x + 25) = 45

Reorder the terms:
2.5 + 0.5x + 0.6(25 + x) = 45
2.5 + 0.5x + (25 * 0.6 + x * 0.6) = 45
2.5 + 0.5x + (15 + 0.6x) = 45

Reorder the terms:
2.5 + 15 + 0.5x + 0.6x = 45

Combine like terms: 2.5 + 15 = 17.5
17.5 + 0.5x + 0.6x = 45

Combine like terms: 0.5x + 0.6x = 1.1x
17.5 + 1.1x = 45

Solving
17.5 + 1.1x = 45

Solving for variable 'x'.

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

Add '-17.5' to each side of the equation.
17.5 + -17.5 + 1.1x = 45 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + 1.1x = 45 + -17.5
1.1x = 45 + -17.5

Combine like terms: 45 + -17.5 = 27.5
1.1x = 27.5

Divide each side by '1.1'.
x = 25

Simplifying
x = 25

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