3y-5x+20=4x-2y+5

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Solution for 3y-5x+20=4x-2y+5 equation:


Simplifying
3y + -5x + 20 = 4x + -2y + 5

Reorder the terms:
20 + -5x + 3y = 4x + -2y + 5

Reorder the terms:
20 + -5x + 3y = 5 + 4x + -2y

Solving
20 + -5x + 3y = 5 + 4x + -2y

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 + 3y = 5 + 4x + -4x + -2y

Combine like terms: -5x + -4x = -9x
20 + -9x + 3y = 5 + 4x + -4x + -2y

Combine like terms: 4x + -4x = 0
20 + -9x + 3y = 5 + 0 + -2y
20 + -9x + 3y = 5 + -2y

Add '-20' to each side of the equation.
20 + -9x + -20 + 3y = 5 + -20 + -2y

Reorder the terms:
20 + -20 + -9x + 3y = 5 + -20 + -2y

Combine like terms: 20 + -20 = 0
0 + -9x + 3y = 5 + -20 + -2y
-9x + 3y = 5 + -20 + -2y

Combine like terms: 5 + -20 = -15
-9x + 3y = -15 + -2y

Add '-3y' to each side of the equation.
-9x + 3y + -3y = -15 + -2y + -3y

Combine like terms: 3y + -3y = 0
-9x + 0 = -15 + -2y + -3y
-9x = -15 + -2y + -3y

Combine like terms: -2y + -3y = -5y
-9x = -15 + -5y

Divide each side by '-9'.
x = 1.666666667 + 0.5555555556y

Simplifying
x = 1.666666667 + 0.5555555556y

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