5x-3y+7=3x-2y+0

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Solution for 5x-3y+7=3x-2y+0 equation:


Simplifying
5x + -3y + 7 = 3x + -2y + 0

Reorder the terms:
7 + 5x + -3y = 3x + -2y + 0

Reorder the terms:
7 + 5x + -3y = 0 + 3x + -2y
Remove the zero:
7 + 5x + -3y = 3x + -2y

Solving
7 + 5x + -3y = 3x + -2y

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
7 + 5x + -3x + -3y = 3x + -3x + -2y

Combine like terms: 5x + -3x = 2x
7 + 2x + -3y = 3x + -3x + -2y

Combine like terms: 3x + -3x = 0
7 + 2x + -3y = 0 + -2y
7 + 2x + -3y = -2y

Add '-7' to each side of the equation.
7 + 2x + -7 + -3y = -7 + -2y

Reorder the terms:
7 + -7 + 2x + -3y = -7 + -2y

Combine like terms: 7 + -7 = 0
0 + 2x + -3y = -7 + -2y
2x + -3y = -7 + -2y

Add '3y' to each side of the equation.
2x + -3y + 3y = -7 + -2y + 3y

Combine like terms: -3y + 3y = 0
2x + 0 = -7 + -2y + 3y
2x = -7 + -2y + 3y

Combine like terms: -2y + 3y = 1y
2x = -7 + 1y

Divide each side by '2'.
x = -3.5 + 0.5y

Simplifying
x = -3.5 + 0.5y

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