6y+.5x=2x+4y

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Solution for 6y+.5x=2x+4y equation:


Simplifying
6y + 0.5x = 2x + 4y

Reorder the terms:
0.5x + 6y = 2x + 4y

Solving
0.5x + 6y = 2x + 4y

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
0.5x + -2x + 6y = 2x + -2x + 4y

Combine like terms: 0.5x + -2x = -1.5x
-1.5x + 6y = 2x + -2x + 4y

Combine like terms: 2x + -2x = 0
-1.5x + 6y = 0 + 4y
-1.5x + 6y = 4y

Add '-6y' to each side of the equation.
-1.5x + 6y + -6y = 4y + -6y

Combine like terms: 6y + -6y = 0
-1.5x + 0 = 4y + -6y
-1.5x = 4y + -6y

Combine like terms: 4y + -6y = -2y
-1.5x = -2y

Divide each side by '-1.5'.
x = 1.333333333y

Simplifying
x = 1.333333333y

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