2(x-5)=-3(y-2)+2

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Solution for 2(x-5)=-3(y-2)+2 equation: 


Simplifying
2(x + -5) = -3(y + -2) + 2

Reorder the terms:
2(-5 + x) = -3(y + -2) + 2
(-5 * 2 + x * 2) = -3(y + -2) + 2
(-10 + 2x) = -3(y + -2) + 2

Reorder the terms:
-10 + 2x = -3(-2 + y) + 2
-10 + 2x = (-2 * -3 + y * -3) + 2
-10 + 2x = (6 + -3y) + 2

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

Combine like terms: 6 + 2 = 8
-10 + 2x = 8 + -3y

Solving
-10 + 2x = 8 + -3y

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 2x = 8 + 10 + -3y

Combine like terms: -10 + 10 = 0
0 + 2x = 8 + 10 + -3y
2x = 8 + 10 + -3y

Combine like terms: 8 + 10 = 18
2x = 18 + -3y

Divide each side by '2'.
x = 9 + -1.5y

Simplifying
x = 9 + -1.5y

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