4(X+2)=5(-X+6)

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Solution for 4(X+2)=5(-X+6) equation: 


Simplifying
4(X + 2) = 5(-1X + 6)

Reorder the terms:
4(2 + X) = 5(-1X + 6)
(2 * 4 + X * 4) = 5(-1X + 6)
(8 + 4X) = 5(-1X + 6)

Reorder the terms:
8 + 4X = 5(6 + -1X)
8 + 4X = (6 * 5 + -1X * 5)
8 + 4X = (30 + -5X)

Solving
8 + 4X = 30 + -5X

Solving for variable 'X'.

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

Add '5X' to each side of the equation.
8 + 4X + 5X = 30 + -5X + 5X

Combine like terms: 4X + 5X = 9X
8 + 9X = 30 + -5X + 5X

Combine like terms: -5X + 5X = 0
8 + 9X = 30 + 0
8 + 9X = 30

Add '-8' to each side of the equation.
8 + -8 + 9X = 30 + -8

Combine like terms: 8 + -8 = 0
0 + 9X = 30 + -8
9X = 30 + -8

Combine like terms: 30 + -8 = 22
9X = 22

Divide each side by '9'.
X = 2.444444444

Simplifying
X = 2.444444444

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