2(x-3)+5=4y-3(x+y)

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Solution for 2(x-3)+5=4y-3(x+y) equation:


Simplifying
2(x + -3) + 5 = 4y + -3(x + y)

Reorder the terms:
2(-3 + x) + 5 = 4y + -3(x + y)
(-3 * 2 + x * 2) + 5 = 4y + -3(x + y)
(-6 + 2x) + 5 = 4y + -3(x + y)

Reorder the terms:
-6 + 5 + 2x = 4y + -3(x + y)

Combine like terms: -6 + 5 = -1
-1 + 2x = 4y + -3(x + y)
-1 + 2x = 4y + (x * -3 + y * -3)
-1 + 2x = 4y + (-3x + -3y)

Reorder the terms:
-1 + 2x = -3x + 4y + -3y

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

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

Solving for variable 'x'.

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

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

Combine like terms: 2x + 3x = 5x
-1 + 5x = -3x + 3x + 1y

Combine like terms: -3x + 3x = 0
-1 + 5x = 0 + 1y
-1 + 5x = 1y

Add '1' to each side of the equation.
-1 + 1 + 5x = 1 + 1y

Combine like terms: -1 + 1 = 0
0 + 5x = 1 + 1y
5x = 1 + 1y

Divide each side by '5'.
x = 0.2 + 0.2y

Simplifying
x = 0.2 + 0.2y

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