6x+2y-10=6y+3x-15

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Solution for 6x+2y-10=6y+3x-15 equation:


Simplifying
6x + 2y + -10 = 6y + 3x + -15

Reorder the terms:
-10 + 6x + 2y = 6y + 3x + -15

Reorder the terms:
-10 + 6x + 2y = -15 + 3x + 6y

Solving
-10 + 6x + 2y = -15 + 3x + 6y

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 + 6x + -3x + 2y = -15 + 3x + -3x + 6y

Combine like terms: 6x + -3x = 3x
-10 + 3x + 2y = -15 + 3x + -3x + 6y

Combine like terms: 3x + -3x = 0
-10 + 3x + 2y = -15 + 0 + 6y
-10 + 3x + 2y = -15 + 6y

Add '10' to each side of the equation.
-10 + 3x + 10 + 2y = -15 + 10 + 6y

Reorder the terms:
-10 + 10 + 3x + 2y = -15 + 10 + 6y

Combine like terms: -10 + 10 = 0
0 + 3x + 2y = -15 + 10 + 6y
3x + 2y = -15 + 10 + 6y

Combine like terms: -15 + 10 = -5
3x + 2y = -5 + 6y

Add '-2y' to each side of the equation.
3x + 2y + -2y = -5 + 6y + -2y

Combine like terms: 2y + -2y = 0
3x + 0 = -5 + 6y + -2y
3x = -5 + 6y + -2y

Combine like terms: 6y + -2y = 4y
3x = -5 + 4y

Divide each side by '3'.
x = -1.666666667 + 1.333333333y

Simplifying
x = -1.666666667 + 1.333333333y

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