3(X+7)=2[x-(4-X)]

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Solution for 3(X+7)=2[x-(4-X)] equation: 


Simplifying
3(X + 7) = 2[x + -1(4 + -1X)]

Reorder the terms:
3(7 + X) = 2[x + -1(4 + -1X)]
(7 * 3 + X * 3) = 2[x + -1(4 + -1X)]
(21 + 3X) = 2[x + -1(4 + -1X)]
21 + 3X = 2[x + (4 * -1 + -1X * -1)]
21 + 3X = 2[x + (-4 + 1X)]

Reorder the terms:
21 + 3X = 2[-4 + 1X + x]
21 + 3X = [-4 * 2 + 1X * 2 + x * 2]
21 + 3X = [-8 + 2X + 2x]

Solving
21 + 3X = -8 + 2X + 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.
21 + 3X + -2X = -8 + 2X + -2X + 2x

Combine like terms: 3X + -2X = 1X
21 + 1X = -8 + 2X + -2X + 2x

Combine like terms: 2X + -2X = 0
21 + 1X = -8 + 0 + 2x
21 + 1X = -8 + 2x

Add '-21' to each side of the equation.
21 + -21 + 1X = -8 + -21 + 2x

Combine like terms: 21 + -21 = 0
0 + 1X = -8 + -21 + 2x
1X = -8 + -21 + 2x

Combine like terms: -8 + -21 = -29
1X = -29 + 2x

Divide each side by '1'.
X = -29 + 2x

Simplifying
X = -29 + 2x

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