2(X+3)+2(3x-2)=58

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Solution for 2(X+3)+2(3x-2)=58 equation:


Simplifying
2(X + 3) + 2(3x + -2) = 58

Reorder the terms:
2(3 + X) + 2(3x + -2) = 58
(3 * 2 + X * 2) + 2(3x + -2) = 58
(6 + 2X) + 2(3x + -2) = 58

Reorder the terms:
6 + 2X + 2(-2 + 3x) = 58
6 + 2X + (-2 * 2 + 3x * 2) = 58
6 + 2X + (-4 + 6x) = 58

Reorder the terms:
6 + -4 + 2X + 6x = 58

Combine like terms: 6 + -4 = 2
2 + 2X + 6x = 58

Solving
2 + 2X + 6x = 58

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + 2X + -2 + 6x = 58 + -2

Reorder the terms:
2 + -2 + 2X + 6x = 58 + -2

Combine like terms: 2 + -2 = 0
0 + 2X + 6x = 58 + -2
2X + 6x = 58 + -2

Combine like terms: 58 + -2 = 56
2X + 6x = 56

Add '-6x' to each side of the equation.
2X + 6x + -6x = 56 + -6x

Combine like terms: 6x + -6x = 0
2X + 0 = 56 + -6x
2X = 56 + -6x

Divide each side by '2'.
X = 28 + -3x

Simplifying
X = 28 + -3x

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