X-(8-2X)+2(X-3)=16+X-3X+24

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Solution for X-(8-2X)+2(X-3)=16+X-3X+24 equation:


Simplifying
X + -1(8 + -2X) + 2(X + -3) = 16 + X + -3X + 24
X + (8 * -1 + -2X * -1) + 2(X + -3) = 16 + X + -3X + 24
X + (-8 + 2X) + 2(X + -3) = 16 + X + -3X + 24

Reorder the terms:
X + -8 + 2X + 2(-3 + X) = 16 + X + -3X + 24
X + -8 + 2X + (-3 * 2 + X * 2) = 16 + X + -3X + 24
X + -8 + 2X + (-6 + 2X) = 16 + X + -3X + 24

Reorder the terms:
-8 + -6 + X + 2X + 2X = 16 + X + -3X + 24

Combine like terms: -8 + -6 = -14
-14 + X + 2X + 2X = 16 + X + -3X + 24

Combine like terms: X + 2X = 3X
-14 + 3X + 2X = 16 + X + -3X + 24

Combine like terms: 3X + 2X = 5X
-14 + 5X = 16 + X + -3X + 24

Reorder the terms:
-14 + 5X = 16 + 24 + X + -3X

Combine like terms: 16 + 24 = 40
-14 + 5X = 40 + X + -3X

Combine like terms: X + -3X = -2X
-14 + 5X = 40 + -2X

Solving
-14 + 5X = 40 + -2X

Solving for variable 'X'.

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

Add '2X' to each side of the equation.
-14 + 5X + 2X = 40 + -2X + 2X

Combine like terms: 5X + 2X = 7X
-14 + 7X = 40 + -2X + 2X

Combine like terms: -2X + 2X = 0
-14 + 7X = 40 + 0
-14 + 7X = 40

Add '14' to each side of the equation.
-14 + 14 + 7X = 40 + 14

Combine like terms: -14 + 14 = 0
0 + 7X = 40 + 14
7X = 40 + 14

Combine like terms: 40 + 14 = 54
7X = 54

Divide each side by '7'.
X = 7.714285714

Simplifying
X = 7.714285714

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