3(x+8)+4(x-2)=-(2x+4)+7(x-2)

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Solution for 3(x+8)+4(x-2)=-(2x+4)+7(x-2) equation: 


Simplifying
3(x + 8) + 4(x + -2) = -1(2x + 4) + 7(x + -2)

Reorder the terms:
3(8 + x) + 4(x + -2) = -1(2x + 4) + 7(x + -2)
(8 * 3 + x * 3) + 4(x + -2) = -1(2x + 4) + 7(x + -2)
(24 + 3x) + 4(x + -2) = -1(2x + 4) + 7(x + -2)

Reorder the terms:
24 + 3x + 4(-2 + x) = -1(2x + 4) + 7(x + -2)
24 + 3x + (-2 * 4 + x * 4) = -1(2x + 4) + 7(x + -2)
24 + 3x + (-8 + 4x) = -1(2x + 4) + 7(x + -2)

Reorder the terms:
24 + -8 + 3x + 4x = -1(2x + 4) + 7(x + -2)

Combine like terms: 24 + -8 = 16
16 + 3x + 4x = -1(2x + 4) + 7(x + -2)

Combine like terms: 3x + 4x = 7x
16 + 7x = -1(2x + 4) + 7(x + -2)

Reorder the terms:
16 + 7x = -1(4 + 2x) + 7(x + -2)
16 + 7x = (4 * -1 + 2x * -1) + 7(x + -2)
16 + 7x = (-4 + -2x) + 7(x + -2)

Reorder the terms:
16 + 7x = -4 + -2x + 7(-2 + x)
16 + 7x = -4 + -2x + (-2 * 7 + x * 7)
16 + 7x = -4 + -2x + (-14 + 7x)

Reorder the terms:
16 + 7x = -4 + -14 + -2x + 7x

Combine like terms: -4 + -14 = -18
16 + 7x = -18 + -2x + 7x

Combine like terms: -2x + 7x = 5x
16 + 7x = -18 + 5x

Solving
16 + 7x = -18 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
16 + 7x + -5x = -18 + 5x + -5x

Combine like terms: 7x + -5x = 2x
16 + 2x = -18 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + 2x = -18 + 0
16 + 2x = -18

Add '-16' to each side of the equation.
16 + -16 + 2x = -18 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = -18 + -16
2x = -18 + -16

Combine like terms: -18 + -16 = -34
2x = -34

Divide each side by '2'.
x = -17

Simplifying
x = -17

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