0.5(x+15)+0.4(x+25)=31

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Solution for 0.5(x+15)+0.4(x+25)=31 equation: 


Simplifying
0.5(x + 15) + 0.4(x + 25) = 31

Reorder the terms:
0.5(15 + x) + 0.4(x + 25) = 31
(15 * 0.5 + x * 0.5) + 0.4(x + 25) = 31
(7.5 + 0.5x) + 0.4(x + 25) = 31

Reorder the terms:
7.5 + 0.5x + 0.4(25 + x) = 31
7.5 + 0.5x + (25 * 0.4 + x * 0.4) = 31
7.5 + 0.5x + (10 + 0.4x) = 31

Reorder the terms:
7.5 + 10 + 0.5x + 0.4x = 31

Combine like terms: 7.5 + 10 = 17.5
17.5 + 0.5x + 0.4x = 31

Combine like terms: 0.5x + 0.4x = 0.9x
17.5 + 0.9x = 31

Solving
17.5 + 0.9x = 31

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 + 0.9x = 31 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + 0.9x = 31 + -17.5
0.9x = 31 + -17.5

Combine like terms: 31 + -17.5 = 13.5
0.9x = 13.5

Divide each side by '0.9'.
x = 15

Simplifying
x = 15

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