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

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


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

Reorder the terms:
-5(-4 + x) = -4(x + 9)
(-4 * -5 + x * -5) = -4(x + 9)
(20 + -5x) = -4(x + 9)

Reorder the terms:
20 + -5x = -4(9 + x)
20 + -5x = (9 * -4 + x * -4)
20 + -5x = (-36 + -4x)

Solving
20 + -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.
20 + -5x + 4x = -36 + -4x + 4x

Combine like terms: -5x + 4x = -1x
20 + -1x = -36 + -4x + 4x

Combine like terms: -4x + 4x = 0
20 + -1x = -36 + 0
20 + -1x = -36

Add '-20' to each side of the equation.
20 + -20 + -1x = -36 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = -36 + -20
-1x = -36 + -20

Combine like terms: -36 + -20 = -56
-1x = -56

Divide each side by '-1'.
x = 56

Simplifying
x = 56

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