2*(X+45)-3*(45-X)=5

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Solution for 2*(X+45)-3*(45-X)=5 equation: 


Simplifying
2(X + 45) + -3(45 + -1X) = 5

Reorder the terms:
2(45 + X) + -3(45 + -1X) = 5
(45 * 2 + X * 2) + -3(45 + -1X) = 5
(90 + 2X) + -3(45 + -1X) = 5
90 + 2X + (45 * -3 + -1X * -3) = 5
90 + 2X + (-135 + 3X) = 5

Reorder the terms:
90 + -135 + 2X + 3X = 5

Combine like terms: 90 + -135 = -45
-45 + 2X + 3X = 5

Combine like terms: 2X + 3X = 5X
-45 + 5X = 5

Solving
-45 + 5X = 5

Solving for variable 'X'.

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

Add '45' to each side of the equation.
-45 + 45 + 5X = 5 + 45

Combine like terms: -45 + 45 = 0
0 + 5X = 5 + 45
5X = 5 + 45

Combine like terms: 5 + 45 = 50
5X = 50

Divide each side by '5'.
X = 10

Simplifying
X = 10

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