6x-7y=2(x+2y)

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Solution for 6x-7y=2(x+2y) equation:


Simplifying
6x + -7y = 2(x + 2y)
6x + -7y = (x * 2 + 2y * 2)
6x + -7y = (2x + 4y)

Solving
6x + -7y = 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.
6x + -2x + -7y = 2x + -2x + 4y

Combine like terms: 6x + -2x = 4x
4x + -7y = 2x + -2x + 4y

Combine like terms: 2x + -2x = 0
4x + -7y = 0 + 4y
4x + -7y = 4y

Add '7y' to each side of the equation.
4x + -7y + 7y = 4y + 7y

Combine like terms: -7y + 7y = 0
4x + 0 = 4y + 7y
4x = 4y + 7y

Combine like terms: 4y + 7y = 11y
4x = 11y

Divide each side by '4'.
x = 2.75y

Simplifying
x = 2.75y

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