14-2(7-4x)-4x=8x-3[2x-(5-x)-30]

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Solution for 14-2(7-4x)-4x=8x-3[2x-(5-x)-30] equation:


Simplifying
14 + -2(7 + -4x) + -4x = 8x + -3[2x + -1(5 + -1x) + -30]
14 + (7 * -2 + -4x * -2) + -4x = 8x + -3[2x + -1(5 + -1x) + -30]
14 + (-14 + 8x) + -4x = 8x + -3[2x + -1(5 + -1x) + -30]

Combine like terms: 14 + -14 = 0
0 + 8x + -4x = 8x + -3[2x + -1(5 + -1x) + -30]
8x + -4x = 8x + -3[2x + -1(5 + -1x) + -30]

Combine like terms: 8x + -4x = 4x
4x = 8x + -3[2x + -1(5 + -1x) + -30]
4x = 8x + -3[2x + (5 * -1 + -1x * -1) + -30]
4x = 8x + -3[2x + (-5 + 1x) + -30]

Reorder the terms:
4x = 8x + -3[-5 + -30 + 2x + 1x]

Combine like terms: -5 + -30 = -35
4x = 8x + -3[-35 + 2x + 1x]

Combine like terms: 2x + 1x = 3x
4x = 8x + -3[-35 + 3x]
4x = 8x + [-35 * -3 + 3x * -3]
4x = 8x + [105 + -9x]

Reorder the terms:
4x = 105 + 8x + -9x

Combine like terms: 8x + -9x = -1x
4x = 105 + -1x

Solving
4x = 105 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4x + x = 105 + -1x + x

Combine like terms: 4x + x = 5x
5x = 105 + -1x + x

Combine like terms: -1x + x = 0
5x = 105 + 0
5x = 105

Divide each side by '5'.
x = 21

Simplifying
x = 21

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