3(x+7)=2[x-(8-x)]

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Solution for 3(x+7)=2[x-(8-x)] equation:


Simplifying
3(x + 7) = 2[x + -1(8 + -1x)]

Reorder the terms:
3(7 + x) = 2[x + -1(8 + -1x)]
(7 * 3 + x * 3) = 2[x + -1(8 + -1x)]
(21 + 3x) = 2[x + -1(8 + -1x)]
21 + 3x = 2[x + (8 * -1 + -1x * -1)]
21 + 3x = 2[x + (-8 + 1x)]

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

Combine like terms: x + 1x = 2x
21 + 3x = 2[-8 + 2x]
21 + 3x = [-8 * 2 + 2x * 2]
21 + 3x = [-16 + 4x]

Solving
21 + 3x = -16 + 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.
21 + 3x + -4x = -16 + 4x + -4x

Combine like terms: 3x + -4x = -1x
21 + -1x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
21 + -1x = -16 + 0
21 + -1x = -16

Add '-21' to each side of the equation.
21 + -21 + -1x = -16 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = -16 + -21
-1x = -16 + -21

Combine like terms: -16 + -21 = -37
-1x = -37

Divide each side by '-1'.
x = 37

Simplifying
x = 37

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