-4(-x+9)+5=-(-5x-4)-2

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Solution for -4(-x+9)+5=-(-5x-4)-2 equation:


Simplifying
-4(-1x + 9) + 5 = -1(-5x + -4) + -2

Reorder the terms:
-4(9 + -1x) + 5 = -1(-5x + -4) + -2
(9 * -4 + -1x * -4) + 5 = -1(-5x + -4) + -2
(-36 + 4x) + 5 = -1(-5x + -4) + -2

Reorder the terms:
-36 + 5 + 4x = -1(-5x + -4) + -2

Combine like terms: -36 + 5 = -31
-31 + 4x = -1(-5x + -4) + -2

Reorder the terms:
-31 + 4x = -1(-4 + -5x) + -2
-31 + 4x = (-4 * -1 + -5x * -1) + -2
-31 + 4x = (4 + 5x) + -2

Reorder the terms:
-31 + 4x = 4 + -2 + 5x

Combine like terms: 4 + -2 = 2
-31 + 4x = 2 + 5x

Solving
-31 + 4x = 2 + 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.
-31 + 4x + -5x = 2 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-31 + -1x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-31 + -1x = 2 + 0
-31 + -1x = 2

Add '31' to each side of the equation.
-31 + 31 + -1x = 2 + 31

Combine like terms: -31 + 31 = 0
0 + -1x = 2 + 31
-1x = 2 + 31

Combine like terms: 2 + 31 = 33
-1x = 33

Divide each side by '-1'.
x = -33

Simplifying
x = -33

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