3x-5(-2x-8)+4=2-(x-4)

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Solution for 3x-5(-2x-8)+4=2-(x-4) equation:


Simplifying
3x + -5(-2x + -8) + 4 = 2 + -1(x + -4)

Reorder the terms:
3x + -5(-8 + -2x) + 4 = 2 + -1(x + -4)
3x + (-8 * -5 + -2x * -5) + 4 = 2 + -1(x + -4)
3x + (40 + 10x) + 4 = 2 + -1(x + -4)

Reorder the terms:
40 + 4 + 3x + 10x = 2 + -1(x + -4)

Combine like terms: 40 + 4 = 44
44 + 3x + 10x = 2 + -1(x + -4)

Combine like terms: 3x + 10x = 13x
44 + 13x = 2 + -1(x + -4)

Reorder the terms:
44 + 13x = 2 + -1(-4 + x)
44 + 13x = 2 + (-4 * -1 + x * -1)
44 + 13x = 2 + (4 + -1x)

Combine like terms: 2 + 4 = 6
44 + 13x = 6 + -1x

Solving
44 + 13x = 6 + -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.
44 + 13x + x = 6 + -1x + x

Combine like terms: 13x + x = 14x
44 + 14x = 6 + -1x + x

Combine like terms: -1x + x = 0
44 + 14x = 6 + 0
44 + 14x = 6

Add '-44' to each side of the equation.
44 + -44 + 14x = 6 + -44

Combine like terms: 44 + -44 = 0
0 + 14x = 6 + -44
14x = 6 + -44

Combine like terms: 6 + -44 = -38
14x = -38

Divide each side by '14'.
x = -2.714285714

Simplifying
x = -2.714285714

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