-(5-(x+1))=9-(5-(2x-3))

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Solution for -(5-(x+1))=9-(5-(2x-3)) equation:


Simplifying
-1(5 + -1(x + 1)) = 9 + -1(5 + -1(2x + -3))

Reorder the terms:
-1(5 + -1(1 + x)) = 9 + -1(5 + -1(2x + -3))
-1(5 + (1 * -1 + x * -1)) = 9 + -1(5 + -1(2x + -3))
-1(5 + (-1 + -1x)) = 9 + -1(5 + -1(2x + -3))

Combine like terms: 5 + -1 = 4
-1(4 + -1x) = 9 + -1(5 + -1(2x + -3))
(4 * -1 + -1x * -1) = 9 + -1(5 + -1(2x + -3))
(-4 + 1x) = 9 + -1(5 + -1(2x + -3))

Reorder the terms:
-4 + 1x = 9 + -1(5 + -1(-3 + 2x))
-4 + 1x = 9 + -1(5 + (-3 * -1 + 2x * -1))
-4 + 1x = 9 + -1(5 + (3 + -2x))

Combine like terms: 5 + 3 = 8
-4 + 1x = 9 + -1(8 + -2x)
-4 + 1x = 9 + (8 * -1 + -2x * -1)
-4 + 1x = 9 + (-8 + 2x)

Combine like terms: 9 + -8 = 1
-4 + 1x = 1 + 2x

Solving
-4 + 1x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + 1x + -2x = 1 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-4 + -1x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + -1x = 1 + 0
-4 + -1x = 1

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

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

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

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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