8(X+3)+X=4(X+2)-5

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Solution for 8(X+3)+X=4(X+2)-5 equation: 


Simplifying
8(X + 3) + X = 4(X + 2) + -5

Reorder the terms:
8(3 + X) + X = 4(X + 2) + -5
(3 * 8 + X * 8) + X = 4(X + 2) + -5
(24 + 8X) + X = 4(X + 2) + -5

Combine like terms: 8X + X = 9X
24 + 9X = 4(X + 2) + -5

Reorder the terms:
24 + 9X = 4(2 + X) + -5
24 + 9X = (2 * 4 + X * 4) + -5
24 + 9X = (8 + 4X) + -5

Reorder the terms:
24 + 9X = 8 + -5 + 4X

Combine like terms: 8 + -5 = 3
24 + 9X = 3 + 4X

Solving
24 + 9X = 3 + 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.
24 + 9X + -4X = 3 + 4X + -4X

Combine like terms: 9X + -4X = 5X
24 + 5X = 3 + 4X + -4X

Combine like terms: 4X + -4X = 0
24 + 5X = 3 + 0
24 + 5X = 3

Add '-24' to each side of the equation.
24 + -24 + 5X = 3 + -24

Combine like terms: 24 + -24 = 0
0 + 5X = 3 + -24
5X = 3 + -24

Combine like terms: 3 + -24 = -21
5X = -21

Divide each side by '5'.
X = -4.2

Simplifying
X = -4.2

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