(-5x-3)-9=-4(x-5)

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Solution for (-5x-3)-9=-4(x-5) equation:


Simplifying
(-5x + -3) + -9 = -4(x + -5)

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

Remove parenthesis around (-3 + -5x)
-3 + -5x + -9 = -4(x + -5)

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

Combine like terms: -3 + -9 = -12
-12 + -5x = -4(x + -5)

Reorder the terms:
-12 + -5x = -4(-5 + x)
-12 + -5x = (-5 * -4 + x * -4)
-12 + -5x = (20 + -4x)

Solving
-12 + -5x = 20 + -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.
-12 + -5x + 4x = 20 + -4x + 4x

Combine like terms: -5x + 4x = -1x
-12 + -1x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
-12 + -1x = 20 + 0
-12 + -1x = 20

Add '12' to each side of the equation.
-12 + 12 + -1x = 20 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 20 + 12
-1x = 20 + 12

Combine like terms: 20 + 12 = 32
-1x = 32

Divide each side by '-1'.
x = -32

Simplifying
x = -32

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