5(2x+6)-3(4-x)=-4(-5-2x)+3x-11-(3x+1)

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Solution for 5(2x+6)-3(4-x)=-4(-5-2x)+3x-11-(3x+1) equation:


Simplifying
5(2x + 6) + -3(4 + -1x) = -4(-5 + -2x) + 3x + -11 + -1(3x + 1)

Reorder the terms:
5(6 + 2x) + -3(4 + -1x) = -4(-5 + -2x) + 3x + -11 + -1(3x + 1)
(6 * 5 + 2x * 5) + -3(4 + -1x) = -4(-5 + -2x) + 3x + -11 + -1(3x + 1)
(30 + 10x) + -3(4 + -1x) = -4(-5 + -2x) + 3x + -11 + -1(3x + 1)
30 + 10x + (4 * -3 + -1x * -3) = -4(-5 + -2x) + 3x + -11 + -1(3x + 1)
30 + 10x + (-12 + 3x) = -4(-5 + -2x) + 3x + -11 + -1(3x + 1)

Reorder the terms:
30 + -12 + 10x + 3x = -4(-5 + -2x) + 3x + -11 + -1(3x + 1)

Combine like terms: 30 + -12 = 18
18 + 10x + 3x = -4(-5 + -2x) + 3x + -11 + -1(3x + 1)

Combine like terms: 10x + 3x = 13x
18 + 13x = -4(-5 + -2x) + 3x + -11 + -1(3x + 1)
18 + 13x = (-5 * -4 + -2x * -4) + 3x + -11 + -1(3x + 1)
18 + 13x = (20 + 8x) + 3x + -11 + -1(3x + 1)

Reorder the terms:
18 + 13x = 20 + 8x + 3x + -11 + -1(1 + 3x)
18 + 13x = 20 + 8x + 3x + -11 + (1 * -1 + 3x * -1)
18 + 13x = 20 + 8x + 3x + -11 + (-1 + -3x)

Reorder the terms:
18 + 13x = 20 + -11 + -1 + 8x + 3x + -3x

Combine like terms: 20 + -11 = 9
18 + 13x = 9 + -1 + 8x + 3x + -3x

Combine like terms: 9 + -1 = 8
18 + 13x = 8 + 8x + 3x + -3x

Combine like terms: 8x + 3x = 11x
18 + 13x = 8 + 11x + -3x

Combine like terms: 11x + -3x = 8x
18 + 13x = 8 + 8x

Solving
18 + 13x = 8 + 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.
18 + 13x + -8x = 8 + 8x + -8x

Combine like terms: 13x + -8x = 5x
18 + 5x = 8 + 8x + -8x

Combine like terms: 8x + -8x = 0
18 + 5x = 8 + 0
18 + 5x = 8

Add '-18' to each side of the equation.
18 + -18 + 5x = 8 + -18

Combine like terms: 18 + -18 = 0
0 + 5x = 8 + -18
5x = 8 + -18

Combine like terms: 8 + -18 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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