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

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


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

Reorder the terms:
3(3 + x) + x = 2(y + -1) + 3
(3 * 3 + x * 3) + x = 2(y + -1) + 3
(9 + 3x) + x = 2(y + -1) + 3

Combine like terms: 3x + x = 4x
9 + 4x = 2(y + -1) + 3

Reorder the terms:
9 + 4x = 2(-1 + y) + 3
9 + 4x = (-1 * 2 + y * 2) + 3
9 + 4x = (-2 + 2y) + 3

Reorder the terms:
9 + 4x = -2 + 3 + 2y

Combine like terms: -2 + 3 = 1
9 + 4x = 1 + 2y

Solving
9 + 4x = 1 + 2y

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 4x = 1 + -9 + 2y

Combine like terms: 9 + -9 = 0
0 + 4x = 1 + -9 + 2y
4x = 1 + -9 + 2y

Combine like terms: 1 + -9 = -8
4x = -8 + 2y

Divide each side by '4'.
x = -2 + 0.5y

Simplifying
x = -2 + 0.5y

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