3*(3x+2y)=2*(4x+4y)

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


Simplifying
3(3x + 2y) = 2(4x + 4y)
(3x * 3 + 2y * 3) = 2(4x + 4y)
(9x + 6y) = 2(4x + 4y)
9x + 6y = (4x * 2 + 4y * 2)
9x + 6y = (8x + 8y)

Solving
9x + 6y = 8x + 8y

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
9x + -8x + 6y = 8x + -8x + 8y

Combine like terms: 9x + -8x = 1x
1x + 6y = 8x + -8x + 8y

Combine like terms: 8x + -8x = 0
1x + 6y = 0 + 8y
1x + 6y = 8y

Add '-6y' to each side of the equation.
1x + 6y + -6y = 8y + -6y

Combine like terms: 6y + -6y = 0
1x + 0 = 8y + -6y
1x = 8y + -6y

Combine like terms: 8y + -6y = 2y
1x = 2y

Divide each side by '1'.
x = 2y

Simplifying
x = 2y

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