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

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


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

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

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

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

Reorder the terms:
-8 + 3x = -2 + 5 + x + 3x

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

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

Solving
-8 + 3x = 3 + 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 = 3 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-8 + -1x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + -1x = 3 + 0
-8 + -1x = 3

Add '8' to each side of the equation.
-8 + 8 + -1x = 3 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 3 + 8
-1x = 3 + 8

Combine like terms: 3 + 8 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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