(-4x-8)-(-3x+2)=10x-(5x+1)-8x-1

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Solution for (-4x-8)-(-3x+2)=10x-(5x+1)-8x-1 equation:


Simplifying
(-4x + -8) + -1(-3x + 2) = 10x + -1(5x + 1) + -8x + -1

Reorder the terms:
(-8 + -4x) + -1(-3x + 2) = 10x + -1(5x + 1) + -8x + -1

Remove parenthesis around (-8 + -4x)
-8 + -4x + -1(-3x + 2) = 10x + -1(5x + 1) + -8x + -1

Reorder the terms:
-8 + -4x + -1(2 + -3x) = 10x + -1(5x + 1) + -8x + -1
-8 + -4x + (2 * -1 + -3x * -1) = 10x + -1(5x + 1) + -8x + -1
-8 + -4x + (-2 + 3x) = 10x + -1(5x + 1) + -8x + -1

Reorder the terms:
-8 + -2 + -4x + 3x = 10x + -1(5x + 1) + -8x + -1

Combine like terms: -8 + -2 = -10
-10 + -4x + 3x = 10x + -1(5x + 1) + -8x + -1

Combine like terms: -4x + 3x = -1x
-10 + -1x = 10x + -1(5x + 1) + -8x + -1

Reorder the terms:
-10 + -1x = 10x + -1(1 + 5x) + -8x + -1
-10 + -1x = 10x + (1 * -1 + 5x * -1) + -8x + -1
-10 + -1x = 10x + (-1 + -5x) + -8x + -1

Reorder the terms:
-10 + -1x = -1 + -1 + 10x + -5x + -8x

Combine like terms: -1 + -1 = -2
-10 + -1x = -2 + 10x + -5x + -8x

Combine like terms: 10x + -5x = 5x
-10 + -1x = -2 + 5x + -8x

Combine like terms: 5x + -8x = -3x
-10 + -1x = -2 + -3x

Solving
-10 + -1x = -2 + -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.
-10 + -1x + 3x = -2 + -3x + 3x

Combine like terms: -1x + 3x = 2x
-10 + 2x = -2 + -3x + 3x

Combine like terms: -3x + 3x = 0
-10 + 2x = -2 + 0
-10 + 2x = -2

Add '10' to each side of the equation.
-10 + 10 + 2x = -2 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = -2 + 10
2x = -2 + 10

Combine like terms: -2 + 10 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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