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

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


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

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

Reorder the terms:
6 + 3x + -4(-1 + -2x) = 4(3x + 2) + -4(2x + 4)
6 + 3x + (-1 * -4 + -2x * -4) = 4(3x + 2) + -4(2x + 4)
6 + 3x + (4 + 8x) = 4(3x + 2) + -4(2x + 4)

Reorder the terms:
6 + 4 + 3x + 8x = 4(3x + 2) + -4(2x + 4)

Combine like terms: 6 + 4 = 10
10 + 3x + 8x = 4(3x + 2) + -4(2x + 4)

Combine like terms: 3x + 8x = 11x
10 + 11x = 4(3x + 2) + -4(2x + 4)

Reorder the terms:
10 + 11x = 4(2 + 3x) + -4(2x + 4)
10 + 11x = (2 * 4 + 3x * 4) + -4(2x + 4)
10 + 11x = (8 + 12x) + -4(2x + 4)

Reorder the terms:
10 + 11x = 8 + 12x + -4(4 + 2x)
10 + 11x = 8 + 12x + (4 * -4 + 2x * -4)
10 + 11x = 8 + 12x + (-16 + -8x)

Reorder the terms:
10 + 11x = 8 + -16 + 12x + -8x

Combine like terms: 8 + -16 = -8
10 + 11x = -8 + 12x + -8x

Combine like terms: 12x + -8x = 4x
10 + 11x = -8 + 4x

Solving
10 + 11x = -8 + 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.
10 + 11x + -4x = -8 + 4x + -4x

Combine like terms: 11x + -4x = 7x
10 + 7x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + 7x = -8 + 0
10 + 7x = -8

Add '-10' to each side of the equation.
10 + -10 + 7x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = -8 + -10
7x = -8 + -10

Combine like terms: -8 + -10 = -18
7x = -18

Divide each side by '7'.
x = -2.571428571

Simplifying
x = -2.571428571

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