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

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


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

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

Reorder the terms:
-10 + 2x + -4y = 20x + 2y

Solving
-10 + 2x + -4y = 20x + 2y

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.
-10 + 2x + -20x + -4y = 20x + -20x + 2y

Combine like terms: 2x + -20x = -18x
-10 + -18x + -4y = 20x + -20x + 2y

Combine like terms: 20x + -20x = 0
-10 + -18x + -4y = 0 + 2y
-10 + -18x + -4y = 2y

Add '10' to each side of the equation.
-10 + -18x + 10 + -4y = 10 + 2y

Reorder the terms:
-10 + 10 + -18x + -4y = 10 + 2y

Combine like terms: -10 + 10 = 0
0 + -18x + -4y = 10 + 2y
-18x + -4y = 10 + 2y

Add '4y' to each side of the equation.
-18x + -4y + 4y = 10 + 2y + 4y

Combine like terms: -4y + 4y = 0
-18x + 0 = 10 + 2y + 4y
-18x = 10 + 2y + 4y

Combine like terms: 2y + 4y = 6y
-18x = 10 + 6y

Divide each side by '-18'.
x = -0.5555555556 + -0.3333333333y

Simplifying
x = -0.5555555556 + -0.3333333333y

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