2*(X+30)-3*(30-X)=5

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Solution for 2*(X+30)-3*(30-X)=5 equation: 


Simplifying
2(X + 30) + -3(30 + -1X) = 5

Reorder the terms:
2(30 + X) + -3(30 + -1X) = 5
(30 * 2 + X * 2) + -3(30 + -1X) = 5
(60 + 2X) + -3(30 + -1X) = 5
60 + 2X + (30 * -3 + -1X * -3) = 5
60 + 2X + (-90 + 3X) = 5

Reorder the terms:
60 + -90 + 2X + 3X = 5

Combine like terms: 60 + -90 = -30
-30 + 2X + 3X = 5

Combine like terms: 2X + 3X = 5X
-30 + 5X = 5

Solving
-30 + 5X = 5

Solving for variable 'X'.

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

Add '30' to each side of the equation.
-30 + 30 + 5X = 5 + 30

Combine like terms: -30 + 30 = 0
0 + 5X = 5 + 30
5X = 5 + 30

Combine like terms: 5 + 30 = 35
5X = 35

Divide each side by '5'.
X = 7

Simplifying
X = 7

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