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

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


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

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

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

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

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

Combine like terms: -5x + -7x = -12x
1 + -12x = 5 + -1(4x + 1)

Reorder the terms:
1 + -12x = 5 + -1(1 + 4x)
1 + -12x = 5 + (1 * -1 + 4x * -1)
1 + -12x = 5 + (-1 + -4x)

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

Solving
1 + -12x = 4 + -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.
1 + -12x + 4x = 4 + -4x + 4x

Combine like terms: -12x + 4x = -8x
1 + -8x = 4 + -4x + 4x

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

Add '-1' to each side of the equation.
1 + -1 + -8x = 4 + -1

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

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

Divide each side by '-8'.
x = -0.375

Simplifying
x = -0.375

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