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

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


Simplifying
(2X + -5) + -1(3 + -4X) = 8X

Reorder the terms:
(-5 + 2X) + -1(3 + -4X) = 8X

Remove parenthesis around (-5 + 2X)
-5 + 2X + -1(3 + -4X) = 8X
-5 + 2X + (3 * -1 + -4X * -1) = 8X
-5 + 2X + (-3 + 4X) = 8X

Reorder the terms:
-5 + -3 + 2X + 4X = 8X

Combine like terms: -5 + -3 = -8
-8 + 2X + 4X = 8X

Combine like terms: 2X + 4X = 6X
-8 + 6X = 8X

Solving
-8 + 6X = 8X

Solving for variable 'X'.

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

Add '-8X' to each side of the equation.
-8 + 6X + -8X = 8X + -8X

Combine like terms: 6X + -8X = -2X
-8 + -2X = 8X + -8X

Combine like terms: 8X + -8X = 0
-8 + -2X = 0

Add '8' to each side of the equation.
-8 + 8 + -2X = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -2X = 0 + 8
-2X = 0 + 8

Combine like terms: 0 + 8 = 8
-2X = 8

Divide each side by '-2'.
X = -4

Simplifying
X = -4

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