2(x-1)-3(y-3)=0

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Solution for 2(x-1)-3(y-3)=0 equation:


Simplifying
2(x + -1) + -3(y + -3) = 0

Reorder the terms:
2(-1 + x) + -3(y + -3) = 0
(-1 * 2 + x * 2) + -3(y + -3) = 0
(-2 + 2x) + -3(y + -3) = 0

Reorder the terms:
-2 + 2x + -3(-3 + y) = 0
-2 + 2x + (-3 * -3 + y * -3) = 0
-2 + 2x + (9 + -3y) = 0

Reorder the terms:
-2 + 9 + 2x + -3y = 0

Combine like terms: -2 + 9 = 7
7 + 2x + -3y = 0

Solving
7 + 2x + -3y = 0

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + 2x + -7 + -3y = 0 + -7

Reorder the terms:
7 + -7 + 2x + -3y = 0 + -7

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

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

Add '3y' to each side of the equation.
2x + -3y + 3y = -7 + 3y

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

Divide each side by '2'.
x = -3.5 + 1.5y

Simplifying
x = -3.5 + 1.5y

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