5x+3y-10=3x-3y+10

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


Simplifying
5x + 3y + -10 = 3x + -3y + 10

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

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

Solving
-10 + 5x + 3y = 10 + 3x + -3y

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.
-10 + 5x + -3x + 3y = 10 + 3x + -3x + -3y

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

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

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

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

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

Combine like terms: 10 + 10 = 20
2x + 3y = 20 + -3y

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

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

Combine like terms: -3y + -3y = -6y
2x = 20 + -6y

Divide each side by '2'.
x = 10 + -3y

Simplifying
x = 10 + -3y

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