(6x-3)-(2x-9)=(2y-10)-(3y-55)

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Solution for (6x-3)-(2x-9)=(2y-10)-(3y-55) equation:


Simplifying
(6x + -3) + -1(2x + -9) = (2y + -10) + -1(3y + -55)

Reorder the terms:
(-3 + 6x) + -1(2x + -9) = (2y + -10) + -1(3y + -55)

Remove parenthesis around (-3 + 6x)
-3 + 6x + -1(2x + -9) = (2y + -10) + -1(3y + -55)

Reorder the terms:
-3 + 6x + -1(-9 + 2x) = (2y + -10) + -1(3y + -55)
-3 + 6x + (-9 * -1 + 2x * -1) = (2y + -10) + -1(3y + -55)
-3 + 6x + (9 + -2x) = (2y + -10) + -1(3y + -55)

Reorder the terms:
-3 + 9 + 6x + -2x = (2y + -10) + -1(3y + -55)

Combine like terms: -3 + 9 = 6
6 + 6x + -2x = (2y + -10) + -1(3y + -55)

Combine like terms: 6x + -2x = 4x
6 + 4x = (2y + -10) + -1(3y + -55)

Reorder the terms:
6 + 4x = (-10 + 2y) + -1(3y + -55)

Remove parenthesis around (-10 + 2y)
6 + 4x = -10 + 2y + -1(3y + -55)

Reorder the terms:
6 + 4x = -10 + 2y + -1(-55 + 3y)
6 + 4x = -10 + 2y + (-55 * -1 + 3y * -1)
6 + 4x = -10 + 2y + (55 + -3y)

Reorder the terms:
6 + 4x = -10 + 55 + 2y + -3y

Combine like terms: -10 + 55 = 45
6 + 4x = 45 + 2y + -3y

Combine like terms: 2y + -3y = -1y
6 + 4x = 45 + -1y

Solving
6 + 4x = 45 + -1y

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 4x = 45 + -6 + -1y

Combine like terms: 6 + -6 = 0
0 + 4x = 45 + -6 + -1y
4x = 45 + -6 + -1y

Combine like terms: 45 + -6 = 39
4x = 39 + -1y

Divide each side by '4'.
x = 9.75 + -0.25y

Simplifying
x = 9.75 + -0.25y

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