8(x+2)-2(2x+5)=2(x-3)-9-5x

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Solution for 8(x+2)-2(2x+5)=2(x-3)-9-5x equation: 


Simplifying
8(x + 2) + -2(2x + 5) = 2(x + -3) + -9 + -5x

Reorder the terms:
8(2 + x) + -2(2x + 5) = 2(x + -3) + -9 + -5x
(2 * 8 + x * 8) + -2(2x + 5) = 2(x + -3) + -9 + -5x
(16 + 8x) + -2(2x + 5) = 2(x + -3) + -9 + -5x

Reorder the terms:
16 + 8x + -2(5 + 2x) = 2(x + -3) + -9 + -5x
16 + 8x + (5 * -2 + 2x * -2) = 2(x + -3) + -9 + -5x
16 + 8x + (-10 + -4x) = 2(x + -3) + -9 + -5x

Reorder the terms:
16 + -10 + 8x + -4x = 2(x + -3) + -9 + -5x

Combine like terms: 16 + -10 = 6
6 + 8x + -4x = 2(x + -3) + -9 + -5x

Combine like terms: 8x + -4x = 4x
6 + 4x = 2(x + -3) + -9 + -5x

Reorder the terms:
6 + 4x = 2(-3 + x) + -9 + -5x
6 + 4x = (-3 * 2 + x * 2) + -9 + -5x
6 + 4x = (-6 + 2x) + -9 + -5x

Reorder the terms:
6 + 4x = -6 + -9 + 2x + -5x

Combine like terms: -6 + -9 = -15
6 + 4x = -15 + 2x + -5x

Combine like terms: 2x + -5x = -3x
6 + 4x = -15 + -3x

Solving
6 + 4x = -15 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + 4x + 3x = -15 + -3x + 3x

Combine like terms: 4x + 3x = 7x
6 + 7x = -15 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 7x = -15 + 0
6 + 7x = -15

Add '-6' to each side of the equation.
6 + -6 + 7x = -15 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = -15 + -6
7x = -15 + -6

Combine like terms: -15 + -6 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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