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

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


Simplifying
3(2x + -1y) = 4(2x + 3) + -5x
(2x * 3 + -1y * 3) = 4(2x + 3) + -5x
(6x + -3y) = 4(2x + 3) + -5x

Reorder the terms:
6x + -3y = 4(3 + 2x) + -5x
6x + -3y = (3 * 4 + 2x * 4) + -5x
6x + -3y = (12 + 8x) + -5x

Combine like terms: 8x + -5x = 3x
6x + -3y = 12 + 3x

Solving
6x + -3y = 12 + 3x

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.
6x + -3x + -3y = 12 + 3x + -3x

Combine like terms: 6x + -3x = 3x
3x + -3y = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
3x + -3y = 12 + 0
3x + -3y = 12

Add '3y' to each side of the equation.
3x + -3y + 3y = 12 + 3y

Combine like terms: -3y + 3y = 0
3x + 0 = 12 + 3y
3x = 12 + 3y

Divide each side by '3'.
x = 4 + y

Simplifying
x = 4 + y

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