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

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


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

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

Remove parenthesis around (-9 + -5x)
-9 + -5x + 2 = -4(x + 9)

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

Combine like terms: -9 + 2 = -7
-7 + -5x = -4(x + 9)

Reorder the terms:
-7 + -5x = -4(9 + x)
-7 + -5x = (9 * -4 + x * -4)
-7 + -5x = (-36 + -4x)

Solving
-7 + -5x = -36 + -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.
-7 + -5x + 4x = -36 + -4x + 4x

Combine like terms: -5x + 4x = -1x
-7 + -1x = -36 + -4x + 4x

Combine like terms: -4x + 4x = 0
-7 + -1x = -36 + 0
-7 + -1x = -36

Add '7' to each side of the equation.
-7 + 7 + -1x = -36 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = -36 + 7
-1x = -36 + 7

Combine like terms: -36 + 7 = -29
-1x = -29

Divide each side by '-1'.
x = 29

Simplifying
x = 29

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