2(2x+3y)=5x+6y

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Solution for 2(2x+3y)=5x+6y equation:


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

Add '-6y' to each side of the equation.
4x + 6y + -6y = 5x + 6y + -6y

Combine like terms: 6y + -6y = 0
4x + 0 = 5x + 6y + -6y
4x = 5x + 6y + -6y

Combine like terms: 6y + -6y = 0
4x = 5x + 0
4x = 5x

Solving
4x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4x + -5x = 5x + -5x

Combine like terms: 4x + -5x = -1x
-1x = 5x + -5x

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

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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