0.5(x+15)+0.2(x+25)=16

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Solution for 0.5(x+15)+0.2(x+25)=16 equation:


Simplifying
0.5(x + 15) + 0.2(x + 25) = 16

Reorder the terms:
0.5(15 + x) + 0.2(x + 25) = 16
(15 * 0.5 + x * 0.5) + 0.2(x + 25) = 16
(7.5 + 0.5x) + 0.2(x + 25) = 16

Reorder the terms:
7.5 + 0.5x + 0.2(25 + x) = 16
7.5 + 0.5x + (25 * 0.2 + x * 0.2) = 16
7.5 + 0.5x + (5 + 0.2x) = 16

Reorder the terms:
7.5 + 5 + 0.5x + 0.2x = 16

Combine like terms: 7.5 + 5 = 12.5
12.5 + 0.5x + 0.2x = 16

Combine like terms: 0.5x + 0.2x = 0.7x
12.5 + 0.7x = 16

Solving
12.5 + 0.7x = 16

Solving for variable 'x'.

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

Add '-12.5' to each side of the equation.
12.5 + -12.5 + 0.7x = 16 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + 0.7x = 16 + -12.5
0.7x = 16 + -12.5

Combine like terms: 16 + -12.5 = 3.5
0.7x = 3.5

Divide each side by '0.7'.
x = 5

Simplifying
x = 5

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