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

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


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

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

Reorder the terms for easier multiplication:
8 + -1 + -2x + 4(5 + -1x) = 2 + -1(5 + 3x) * 7
8 + -1 + -2x + (5 * 4 + -1x * 4) = 2 + -1(5 + 3x) * 7
8 + -1 + -2x + (20 + -4x) = 2 + -1(5 + 3x) * 7

Reorder the terms:
8 + -1 + 20 + -2x + -4x = 2 + -1(5 + 3x) * 7

Combine like terms: 8 + -1 = 7
7 + 20 + -2x + -4x = 2 + -1(5 + 3x) * 7

Combine like terms: 7 + 20 = 27
27 + -2x + -4x = 2 + -1(5 + 3x) * 7

Combine like terms: -2x + -4x = -6x
27 + -6x = 2 + -1(5 + 3x) * 7

Reorder the terms for easier multiplication:
27 + -6x = 2 + -1 * 7(5 + 3x)

Multiply -1 * 7
27 + -6x = 2 + -7(5 + 3x)
27 + -6x = 2 + (5 * -7 + 3x * -7)
27 + -6x = 2 + (-35 + -21x)

Combine like terms: 2 + -35 = -33
27 + -6x = -33 + -21x

Solving
27 + -6x = -33 + -21x

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
27 + -6x + 21x = -33 + -21x + 21x

Combine like terms: -6x + 21x = 15x
27 + 15x = -33 + -21x + 21x

Combine like terms: -21x + 21x = 0
27 + 15x = -33 + 0
27 + 15x = -33

Add '-27' to each side of the equation.
27 + -27 + 15x = -33 + -27

Combine like terms: 27 + -27 = 0
0 + 15x = -33 + -27
15x = -33 + -27

Combine like terms: -33 + -27 = -60
15x = -60

Divide each side by '15'.
x = -4

Simplifying
x = -4

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