50(10x-10)=-5(-4x+4)

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Solution for 50(10x-10)=-5(-4x+4) equation:


Simplifying
50(10x + -10) = -5(-4x + 4)

Reorder the terms:
50(-10 + 10x) = -5(-4x + 4)
(-10 * 50 + 10x * 50) = -5(-4x + 4)
(-500 + 500x) = -5(-4x + 4)

Reorder the terms:
-500 + 500x = -5(4 + -4x)
-500 + 500x = (4 * -5 + -4x * -5)
-500 + 500x = (-20 + 20x)

Solving
-500 + 500x = -20 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-500 + 500x + -20x = -20 + 20x + -20x

Combine like terms: 500x + -20x = 480x
-500 + 480x = -20 + 20x + -20x

Combine like terms: 20x + -20x = 0
-500 + 480x = -20 + 0
-500 + 480x = -20

Add '500' to each side of the equation.
-500 + 500 + 480x = -20 + 500

Combine like terms: -500 + 500 = 0
0 + 480x = -20 + 500
480x = -20 + 500

Combine like terms: -20 + 500 = 480
480x = 480

Divide each side by '480'.
x = 1

Simplifying
x = 1

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