(X+5)-(3X+8)=4X-9

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Solution for (X+5)-(3X+8)=4X-9 equation:


Simplifying
(X + 5) + -1(3X + 8) = 4X + -9

Reorder the terms:
(5 + X) + -1(3X + 8) = 4X + -9

Remove parenthesis around (5 + X)
5 + X + -1(3X + 8) = 4X + -9

Reorder the terms:
5 + X + -1(8 + 3X) = 4X + -9
5 + X + (8 * -1 + 3X * -1) = 4X + -9
5 + X + (-8 + -3X) = 4X + -9

Reorder the terms:
5 + -8 + X + -3X = 4X + -9

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

Combine like terms: X + -3X = -2X
-3 + -2X = 4X + -9

Reorder the terms:
-3 + -2X = -9 + 4X

Solving
-3 + -2X = -9 + 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.
-3 + -2X + -4X = -9 + 4X + -4X

Combine like terms: -2X + -4X = -6X
-3 + -6X = -9 + 4X + -4X

Combine like terms: 4X + -4X = 0
-3 + -6X = -9 + 0
-3 + -6X = -9

Add '3' to each side of the equation.
-3 + 3 + -6X = -9 + 3

Combine like terms: -3 + 3 = 0
0 + -6X = -9 + 3
-6X = -9 + 3

Combine like terms: -9 + 3 = -6
-6X = -6

Divide each side by '-6'.
X = 1

Simplifying
X = 1

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