0.5(X+5)+0.2(X+25)=25

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Solution for 0.5(X+5)+0.2(X+25)=25 equation: 


Simplifying
0.5(X + 5) + 0.2(X + 25) = 25

Reorder the terms:
0.5(5 + X) + 0.2(X + 25) = 25
(5 * 0.5 + X * 0.5) + 0.2(X + 25) = 25
(2.5 + 0.5X) + 0.2(X + 25) = 25

Reorder the terms:
2.5 + 0.5X + 0.2(25 + X) = 25
2.5 + 0.5X + (25 * 0.2 + X * 0.2) = 25
2.5 + 0.5X + (5 + 0.2X) = 25

Reorder the terms:
2.5 + 5 + 0.5X + 0.2X = 25

Combine like terms: 2.5 + 5 = 7.5
7.5 + 0.5X + 0.2X = 25

Combine like terms: 0.5X + 0.2X = 0.7X
7.5 + 0.7X = 25

Solving
7.5 + 0.7X = 25

Solving for variable 'X'.

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

Add '-7.5' to each side of the equation.
7.5 + -7.5 + 0.7X = 25 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + 0.7X = 25 + -7.5
0.7X = 25 + -7.5

Combine like terms: 25 + -7.5 = 17.5
0.7X = 17.5

Divide each side by '0.7'.
X = 25

Simplifying
X = 25

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