13-(2X-5)=(X+2)+3X

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Solution for 13-(2X-5)=(X+2)+3X equation:


Simplifying
13 + -1(2X + -5) = (X + 2) + 3X

Reorder the terms:
13 + -1(-5 + 2X) = (X + 2) + 3X
13 + (-5 * -1 + 2X * -1) = (X + 2) + 3X
13 + (5 + -2X) = (X + 2) + 3X

Combine like terms: 13 + 5 = 18
18 + -2X = (X + 2) + 3X

Reorder the terms:
18 + -2X = (2 + X) + 3X

Remove parenthesis around (2 + X)
18 + -2X = 2 + X + 3X

Combine like terms: X + 3X = 4X
18 + -2X = 2 + 4X

Solving
18 + -2X = 2 + 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.
18 + -2X + -4X = 2 + 4X + -4X

Combine like terms: -2X + -4X = -6X
18 + -6X = 2 + 4X + -4X

Combine like terms: 4X + -4X = 0
18 + -6X = 2 + 0
18 + -6X = 2

Add '-18' to each side of the equation.
18 + -18 + -6X = 2 + -18

Combine like terms: 18 + -18 = 0
0 + -6X = 2 + -18
-6X = 2 + -18

Combine like terms: 2 + -18 = -16
-6X = -16

Divide each side by '-6'.
X = 2.666666667

Simplifying
X = 2.666666667

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