3y+2(x+3)=16

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Solution for 3y+2(x+3)=16 equation:


Simplifying
3y + 2(x + 3) = 16

Reorder the terms:
3y + 2(3 + x) = 16
3y + (3 * 2 + x * 2) = 16
3y + (6 + 2x) = 16

Reorder the terms:
6 + 2x + 3y = 16

Solving
6 + 2x + 3y = 16

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + 2x + -6 + 3y = 16 + -6

Reorder the terms:
6 + -6 + 2x + 3y = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 2x + 3y = 16 + -6
2x + 3y = 16 + -6

Combine like terms: 16 + -6 = 10
2x + 3y = 10

Add '-3y' to each side of the equation.
2x + 3y + -3y = 10 + -3y

Combine like terms: 3y + -3y = 0
2x + 0 = 10 + -3y
2x = 10 + -3y

Divide each side by '2'.
x = 5 + -1.5y

Simplifying
x = 5 + -1.5y

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