-(4x+5)-(8x-7)=5-(3x+1)

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Solution for -(4x+5)-(8x-7)=5-(3x+1) equation:


Simplifying
-1(4x + 5) + -1(8x + -7) = 5 + -1(3x + 1)

Reorder the terms:
-1(5 + 4x) + -1(8x + -7) = 5 + -1(3x + 1)
(5 * -1 + 4x * -1) + -1(8x + -7) = 5 + -1(3x + 1)
(-5 + -4x) + -1(8x + -7) = 5 + -1(3x + 1)

Reorder the terms:
-5 + -4x + -1(-7 + 8x) = 5 + -1(3x + 1)
-5 + -4x + (-7 * -1 + 8x * -1) = 5 + -1(3x + 1)
-5 + -4x + (7 + -8x) = 5 + -1(3x + 1)

Reorder the terms:
-5 + 7 + -4x + -8x = 5 + -1(3x + 1)

Combine like terms: -5 + 7 = 2
2 + -4x + -8x = 5 + -1(3x + 1)

Combine like terms: -4x + -8x = -12x
2 + -12x = 5 + -1(3x + 1)

Reorder the terms:
2 + -12x = 5 + -1(1 + 3x)
2 + -12x = 5 + (1 * -1 + 3x * -1)
2 + -12x = 5 + (-1 + -3x)

Combine like terms: 5 + -1 = 4
2 + -12x = 4 + -3x

Solving
2 + -12x = 4 + -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.
2 + -12x + 3x = 4 + -3x + 3x

Combine like terms: -12x + 3x = -9x
2 + -9x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + -9x = 4 + 0
2 + -9x = 4

Add '-2' to each side of the equation.
2 + -2 + -9x = 4 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = 4 + -2
-9x = 4 + -2

Combine like terms: 4 + -2 = 2
-9x = 2

Divide each side by '-9'.
x = -0.2222222222

Simplifying
x = -0.2222222222

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