2(X+100)-3*(100-X)=5

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Solution for 2(X+100)-3*(100-X)=5 equation: 


Simplifying
2(X + 100) + -3(100 + -1X) = 5

Reorder the terms:
2(100 + X) + -3(100 + -1X) = 5
(100 * 2 + X * 2) + -3(100 + -1X) = 5
(200 + 2X) + -3(100 + -1X) = 5
200 + 2X + (100 * -3 + -1X * -3) = 5
200 + 2X + (-300 + 3X) = 5

Reorder the terms:
200 + -300 + 2X + 3X = 5

Combine like terms: 200 + -300 = -100
-100 + 2X + 3X = 5

Combine like terms: 2X + 3X = 5X
-100 + 5X = 5

Solving
-100 + 5X = 5

Solving for variable 'X'.

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

Add '100' to each side of the equation.
-100 + 100 + 5X = 5 + 100

Combine like terms: -100 + 100 = 0
0 + 5X = 5 + 100
5X = 5 + 100

Combine like terms: 5 + 100 = 105
5X = 105

Divide each side by '5'.
X = 21

Simplifying
X = 21

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