2(X+3)+2(2x-8)=42

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Solution for 2(X+3)+2(2x-8)=42 equation:


Simplifying
2(X + 3) + 2(2x + -8) = 42

Reorder the terms:
2(3 + X) + 2(2x + -8) = 42
(3 * 2 + X * 2) + 2(2x + -8) = 42
(6 + 2X) + 2(2x + -8) = 42

Reorder the terms:
6 + 2X + 2(-8 + 2x) = 42
6 + 2X + (-8 * 2 + 2x * 2) = 42
6 + 2X + (-16 + 4x) = 42

Reorder the terms:
6 + -16 + 2X + 4x = 42

Combine like terms: 6 + -16 = -10
-10 + 2X + 4x = 42

Solving
-10 + 2X + 4x = 42

Solving for variable 'X'.

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

Add '10' to each side of the equation.
-10 + 2X + 10 + 4x = 42 + 10

Reorder the terms:
-10 + 10 + 2X + 4x = 42 + 10

Combine like terms: -10 + 10 = 0
0 + 2X + 4x = 42 + 10
2X + 4x = 42 + 10

Combine like terms: 42 + 10 = 52
2X + 4x = 52

Add '-4x' to each side of the equation.
2X + 4x + -4x = 52 + -4x

Combine like terms: 4x + -4x = 0
2X + 0 = 52 + -4x
2X = 52 + -4x

Divide each side by '2'.
X = 26 + -2x

Simplifying
X = 26 + -2x

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