5(X+9)+X=4(X+2)+4

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Solution for 5(X+9)+X=4(X+2)+4 equation: 


Simplifying
5(X + 9) + X = 4(X + 2) + 4

Reorder the terms:
5(9 + X) + X = 4(X + 2) + 4
(9 * 5 + X * 5) + X = 4(X + 2) + 4
(45 + 5X) + X = 4(X + 2) + 4

Combine like terms: 5X + X = 6X
45 + 6X = 4(X + 2) + 4

Reorder the terms:
45 + 6X = 4(2 + X) + 4
45 + 6X = (2 * 4 + X * 4) + 4
45 + 6X = (8 + 4X) + 4

Reorder the terms:
45 + 6X = 8 + 4 + 4X

Combine like terms: 8 + 4 = 12
45 + 6X = 12 + 4X

Solving
45 + 6X = 12 + 4X

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
45 + 6X + -4X = 12 + 4X + -4X

Combine like terms: 6X + -4X = 2X
45 + 2X = 12 + 4X + -4X

Combine like terms: 4X + -4X = 0
45 + 2X = 12 + 0
45 + 2X = 12

Add '-45' to each side of the equation.
45 + -45 + 2X = 12 + -45

Combine like terms: 45 + -45 = 0
0 + 2X = 12 + -45
2X = 12 + -45

Combine like terms: 12 + -45 = -33
2X = -33

Divide each side by '2'.
X = -16.5

Simplifying
X = -16.5

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