7x-3(2x-y)=1+x

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Solution for 7x-3(2x-y)=1+x equation:


Simplifying
7x + -3(2x + -1y) = 1 + x
7x + (2x * -3 + -1y * -3) = 1 + x
7x + (-6x + 3y) = 1 + x

Combine like terms: 7x + -6x = 1x
1x + 3y = 1 + x

Solving
1x + 3y = 1 + x

Solving for variable 'x'.

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

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

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

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

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

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

Simplifying
0 = 1 + -3y

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

Reorder the terms:
-1 + 3y = 1 + -1 + -3y + 3y

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

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

The solution to this equation could not be determined.

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