10x-y=7x+2

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Solution for 10x-y=7x+2 equation:


Simplifying
10x + -1y = 7x + 2

Reorder the terms:
10x + -1y = 2 + 7x

Solving
10x + -1y = 2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
10x + -7x + -1y = 2 + 7x + -7x

Combine like terms: 10x + -7x = 3x
3x + -1y = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
3x + -1y = 2 + 0
3x + -1y = 2

Add 'y' to each side of the equation.
3x + -1y + y = 2 + y

Combine like terms: -1y + y = 0
3x + 0 = 2 + y
3x = 2 + y

Divide each side by '3'.
x = 0.6666666667 + 0.3333333333y

Simplifying
x = 0.6666666667 + 0.3333333333y

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