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

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Solution for 5(x+3)-3(x-2)+8-x=-7x-4(-2x+1)+7(-x+2) equation: 


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

Reorder the terms:
5(3 + x) + -3(x + -2) + 8 + -1x = -7x + -4(-2x + 1) + 7(-1x + 2)
(3 * 5 + x * 5) + -3(x + -2) + 8 + -1x = -7x + -4(-2x + 1) + 7(-1x + 2)
(15 + 5x) + -3(x + -2) + 8 + -1x = -7x + -4(-2x + 1) + 7(-1x + 2)

Reorder the terms:
15 + 5x + -3(-2 + x) + 8 + -1x = -7x + -4(-2x + 1) + 7(-1x + 2)
15 + 5x + (-2 * -3 + x * -3) + 8 + -1x = -7x + -4(-2x + 1) + 7(-1x + 2)
15 + 5x + (6 + -3x) + 8 + -1x = -7x + -4(-2x + 1) + 7(-1x + 2)

Reorder the terms:
15 + 6 + 8 + 5x + -3x + -1x = -7x + -4(-2x + 1) + 7(-1x + 2)

Combine like terms: 15 + 6 = 21
21 + 8 + 5x + -3x + -1x = -7x + -4(-2x + 1) + 7(-1x + 2)

Combine like terms: 21 + 8 = 29
29 + 5x + -3x + -1x = -7x + -4(-2x + 1) + 7(-1x + 2)

Combine like terms: 5x + -3x = 2x
29 + 2x + -1x = -7x + -4(-2x + 1) + 7(-1x + 2)

Combine like terms: 2x + -1x = 1x
29 + 1x = -7x + -4(-2x + 1) + 7(-1x + 2)

Reorder the terms:
29 + 1x = -7x + -4(1 + -2x) + 7(-1x + 2)
29 + 1x = -7x + (1 * -4 + -2x * -4) + 7(-1x + 2)
29 + 1x = -7x + (-4 + 8x) + 7(-1x + 2)

Reorder the terms:
29 + 1x = -7x + -4 + 8x + 7(2 + -1x)
29 + 1x = -7x + -4 + 8x + (2 * 7 + -1x * 7)
29 + 1x = -7x + -4 + 8x + (14 + -7x)

Reorder the terms:
29 + 1x = -4 + 14 + -7x + 8x + -7x

Combine like terms: -4 + 14 = 10
29 + 1x = 10 + -7x + 8x + -7x

Combine like terms: -7x + 8x = 1x
29 + 1x = 10 + 1x + -7x

Combine like terms: 1x + -7x = -6x
29 + 1x = 10 + -6x

Solving
29 + 1x = 10 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
29 + 1x + 6x = 10 + -6x + 6x

Combine like terms: 1x + 6x = 7x
29 + 7x = 10 + -6x + 6x

Combine like terms: -6x + 6x = 0
29 + 7x = 10 + 0
29 + 7x = 10

Add '-29' to each side of the equation.
29 + -29 + 7x = 10 + -29

Combine like terms: 29 + -29 = 0
0 + 7x = 10 + -29
7x = 10 + -29

Combine like terms: 10 + -29 = -19
7x = -19

Divide each side by '7'.
x = -2.714285714

Simplifying
x = -2.714285714

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