3y-2(x+1)=3(x+6)

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Solution for 3y-2(x+1)=3(x+6) equation:


Simplifying
3y + -2(x + 1) = 3(x + 6)

Reorder the terms:
3y + -2(1 + x) = 3(x + 6)
3y + (1 * -2 + x * -2) = 3(x + 6)
3y + (-2 + -2x) = 3(x + 6)

Reorder the terms:
-2 + -2x + 3y = 3(x + 6)

Reorder the terms:
-2 + -2x + 3y = 3(6 + x)
-2 + -2x + 3y = (6 * 3 + x * 3)
-2 + -2x + 3y = (18 + 3x)

Solving
-2 + -2x + 3y = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + -2x + -3x + 3y = 18 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-2 + -5x + 3y = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -5x + 3y = 18 + 0
-2 + -5x + 3y = 18

Add '2' to each side of the equation.
-2 + -5x + 2 + 3y = 18 + 2

Reorder the terms:
-2 + 2 + -5x + 3y = 18 + 2

Combine like terms: -2 + 2 = 0
0 + -5x + 3y = 18 + 2
-5x + 3y = 18 + 2

Combine like terms: 18 + 2 = 20
-5x + 3y = 20

Add '-3y' to each side of the equation.
-5x + 3y + -3y = 20 + -3y

Combine like terms: 3y + -3y = 0
-5x + 0 = 20 + -3y
-5x = 20 + -3y

Divide each side by '-5'.
x = -4 + 0.6y

Simplifying
x = -4 + 0.6y

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