2x+10(5y-25)=4x+20(2y+2)

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Solution for 2x+10(5y-25)=4x+20(2y+2) equation: 


Simplifying
2x + 10(5y + -25) = 4x + 20(2y + 2)

Reorder the terms:
2x + 10(-25 + 5y) = 4x + 20(2y + 2)
2x + (-25 * 10 + 5y * 10) = 4x + 20(2y + 2)
2x + (-250 + 50y) = 4x + 20(2y + 2)

Reorder the terms:
-250 + 2x + 50y = 4x + 20(2y + 2)

Reorder the terms:
-250 + 2x + 50y = 4x + 20(2 + 2y)
-250 + 2x + 50y = 4x + (2 * 20 + 2y * 20)
-250 + 2x + 50y = 4x + (40 + 40y)

Reorder the terms:
-250 + 2x + 50y = 40 + 4x + 40y

Solving
-250 + 2x + 50y = 40 + 4x + 40y

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.
-250 + 2x + -4x + 50y = 40 + 4x + -4x + 40y

Combine like terms: 2x + -4x = -2x
-250 + -2x + 50y = 40 + 4x + -4x + 40y

Combine like terms: 4x + -4x = 0
-250 + -2x + 50y = 40 + 0 + 40y
-250 + -2x + 50y = 40 + 40y

Add '250' to each side of the equation.
-250 + -2x + 250 + 50y = 40 + 250 + 40y

Reorder the terms:
-250 + 250 + -2x + 50y = 40 + 250 + 40y

Combine like terms: -250 + 250 = 0
0 + -2x + 50y = 40 + 250 + 40y
-2x + 50y = 40 + 250 + 40y

Combine like terms: 40 + 250 = 290
-2x + 50y = 290 + 40y

Add '-50y' to each side of the equation.
-2x + 50y + -50y = 290 + 40y + -50y

Combine like terms: 50y + -50y = 0
-2x + 0 = 290 + 40y + -50y
-2x = 290 + 40y + -50y

Combine like terms: 40y + -50y = -10y
-2x = 290 + -10y

Divide each side by '-2'.
x = -145 + 5y

Simplifying
x = -145 + 5y

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