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

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


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

Solving
3x + 6y = 4x + 5y

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3x + -4x + 6y = 4x + -4x + 5y

Combine like terms: 3x + -4x = -1x
-1x + 6y = 4x + -4x + 5y

Combine like terms: 4x + -4x = 0
-1x + 6y = 0 + 5y
-1x + 6y = 5y

Add '-6y' to each side of the equation.
-1x + 6y + -6y = 5y + -6y

Combine like terms: 6y + -6y = 0
-1x + 0 = 5y + -6y
-1x = 5y + -6y

Combine like terms: 5y + -6y = -1y
-1x = -1y

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

Simplifying
x = y

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