-4(-3x-5)-(x+1)+2(3x+7)=4(3-2x)

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Solution for -4(-3x-5)-(x+1)+2(3x+7)=4(3-2x) equation: 


Simplifying
-4(-3x + -5) + -1(x + 1) + 2(3x + 7) = 4(3 + -2x)

Reorder the terms:
-4(-5 + -3x) + -1(x + 1) + 2(3x + 7) = 4(3 + -2x)
(-5 * -4 + -3x * -4) + -1(x + 1) + 2(3x + 7) = 4(3 + -2x)
(20 + 12x) + -1(x + 1) + 2(3x + 7) = 4(3 + -2x)

Reorder the terms:
20 + 12x + -1(1 + x) + 2(3x + 7) = 4(3 + -2x)
20 + 12x + (1 * -1 + x * -1) + 2(3x + 7) = 4(3 + -2x)
20 + 12x + (-1 + -1x) + 2(3x + 7) = 4(3 + -2x)

Reorder the terms:
20 + 12x + -1 + -1x + 2(7 + 3x) = 4(3 + -2x)
20 + 12x + -1 + -1x + (7 * 2 + 3x * 2) = 4(3 + -2x)
20 + 12x + -1 + -1x + (14 + 6x) = 4(3 + -2x)

Reorder the terms:
20 + -1 + 14 + 12x + -1x + 6x = 4(3 + -2x)

Combine like terms: 20 + -1 = 19
19 + 14 + 12x + -1x + 6x = 4(3 + -2x)

Combine like terms: 19 + 14 = 33
33 + 12x + -1x + 6x = 4(3 + -2x)

Combine like terms: 12x + -1x = 11x
33 + 11x + 6x = 4(3 + -2x)

Combine like terms: 11x + 6x = 17x
33 + 17x = 4(3 + -2x)
33 + 17x = (3 * 4 + -2x * 4)
33 + 17x = (12 + -8x)

Solving
33 + 17x = 12 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
33 + 17x + 8x = 12 + -8x + 8x

Combine like terms: 17x + 8x = 25x
33 + 25x = 12 + -8x + 8x

Combine like terms: -8x + 8x = 0
33 + 25x = 12 + 0
33 + 25x = 12

Add '-33' to each side of the equation.
33 + -33 + 25x = 12 + -33

Combine like terms: 33 + -33 = 0
0 + 25x = 12 + -33
25x = 12 + -33

Combine like terms: 12 + -33 = -21
25x = -21

Divide each side by '25'.
x = -0.84

Simplifying
x = -0.84

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