2x+(x+8)=2-(4x-5)

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


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

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

Remove parenthesis around (8 + x)
2x + 8 + x = 2 + -1(4x + -5)

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

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

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

Combine like terms: 2 + 5 = 7
8 + 3x = 7 + -4x

Solving
8 + 3x = 7 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
8 + 3x + 4x = 7 + -4x + 4x

Combine like terms: 3x + 4x = 7x
8 + 7x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
8 + 7x = 7 + 0
8 + 7x = 7

Add '-8' to each side of the equation.
8 + -8 + 7x = 7 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = 7 + -8
7x = 7 + -8

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

Divide each side by '7'.
x = -0.1428571429

Simplifying
x = -0.1428571429

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