2(x-1)-3y=1

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


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

Reorder the terms:
2(-1 + x) + -3y = 1
(-1 * 2 + x * 2) + -3y = 1
(-2 + 2x) + -3y = 1

Solving
-2 + 2x + -3y = 1

Solving for variable 'x'.

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

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

Reorder the terms:
-2 + 2 + 2x + -3y = 1 + 2

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

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

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

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

Divide each side by '2'.
x = 1.5 + 1.5y

Simplifying
x = 1.5 + 1.5y

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