3y-5x+10=4x+2y+15

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Solution for 3y-5x+10=4x+2y+15 equation:


Simplifying
3y + -5x + 10 = 4x + 2y + 15

Reorder the terms:
10 + -5x + 3y = 4x + 2y + 15

Reorder the terms:
10 + -5x + 3y = 15 + 4x + 2y

Solving
10 + -5x + 3y = 15 + 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.
10 + -5x + -4x + 3y = 15 + 4x + -4x + 2y

Combine like terms: -5x + -4x = -9x
10 + -9x + 3y = 15 + 4x + -4x + 2y

Combine like terms: 4x + -4x = 0
10 + -9x + 3y = 15 + 0 + 2y
10 + -9x + 3y = 15 + 2y

Add '-10' to each side of the equation.
10 + -9x + -10 + 3y = 15 + -10 + 2y

Reorder the terms:
10 + -10 + -9x + 3y = 15 + -10 + 2y

Combine like terms: 10 + -10 = 0
0 + -9x + 3y = 15 + -10 + 2y
-9x + 3y = 15 + -10 + 2y

Combine like terms: 15 + -10 = 5
-9x + 3y = 5 + 2y

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

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

Combine like terms: 2y + -3y = -1y
-9x = 5 + -1y

Divide each side by '-9'.
x = -0.5555555556 + 0.1111111111y

Simplifying
x = -0.5555555556 + 0.1111111111y

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