6(x+1)+6+6y=2x

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Solution for 6(x+1)+6+6y=2x equation:


Simplifying
6(x + 1) + 6 + 6y = 2x

Reorder the terms:
6(1 + x) + 6 + 6y = 2x
(1 * 6 + x * 6) + 6 + 6y = 2x
(6 + 6x) + 6 + 6y = 2x

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

Combine like terms: 6 + 6 = 12
12 + 6x + 6y = 2x

Solving
12 + 6x + 6y = 2x

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.
12 + 6x + -2x + 6y = 2x + -2x

Combine like terms: 6x + -2x = 4x
12 + 4x + 6y = 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 4x + 6y = 0

Add '-12' to each side of the equation.
12 + 4x + -12 + 6y = 0 + -12

Reorder the terms:
12 + -12 + 4x + 6y = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 4x + 6y = 0 + -12
4x + 6y = 0 + -12

Combine like terms: 0 + -12 = -12
4x + 6y = -12

Add '-6y' to each side of the equation.
4x + 6y + -6y = -12 + -6y

Combine like terms: 6y + -6y = 0
4x + 0 = -12 + -6y
4x = -12 + -6y

Divide each side by '4'.
x = -3 + -1.5y

Simplifying
x = -3 + -1.5y

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