2x+11y=2(x+3x)-47y

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Solution for 2x+11y=2(x+3x)-47y equation:


Simplifying
2x + 11y = 2(x + 3x) + -47y

Combine like terms: x + 3x = 4x
2x + 11y = 2(4x) + -47y

Remove parenthesis around (4x)
2x + 11y = 2 * 4x + -47y

Multiply 2 * 4
2x + 11y = 8x + -47y

Solving
2x + 11y = 8x + -47y

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.
2x + -8x + 11y = 8x + -8x + -47y

Combine like terms: 2x + -8x = -6x
-6x + 11y = 8x + -8x + -47y

Combine like terms: 8x + -8x = 0
-6x + 11y = 0 + -47y
-6x + 11y = -47y

Add '-11y' to each side of the equation.
-6x + 11y + -11y = -47y + -11y

Combine like terms: 11y + -11y = 0
-6x + 0 = -47y + -11y
-6x = -47y + -11y

Combine like terms: -47y + -11y = -58y
-6x = -58y

Divide each side by '-6'.
x = 9.666666667y

Simplifying
x = 9.666666667y

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