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

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


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

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

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

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

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

Combine like terms: -3x + -8x = -11x
1 + -11x = 8 + -1(5x + 1)

Reorder the terms:
1 + -11x = 8 + -1(1 + 5x)
1 + -11x = 8 + (1 * -1 + 5x * -1)
1 + -11x = 8 + (-1 + -5x)

Combine like terms: 8 + -1 = 7
1 + -11x = 7 + -5x

Solving
1 + -11x = 7 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
1 + -11x + 5x = 7 + -5x + 5x

Combine like terms: -11x + 5x = -6x
1 + -6x = 7 + -5x + 5x

Combine like terms: -5x + 5x = 0
1 + -6x = 7 + 0
1 + -6x = 7

Add '-1' to each side of the equation.
1 + -1 + -6x = 7 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 7 + -1
-6x = 7 + -1

Combine like terms: 7 + -1 = 6
-6x = 6

Divide each side by '-6'.
x = -1

Simplifying
x = -1

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