y+4x+1=2y+3x+12

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Solution for y+4x+1=2y+3x+12 equation:


Simplifying
y + 4x + 1 = 2y + 3x + 12

Reorder the terms:
1 + 4x + y = 2y + 3x + 12

Reorder the terms:
1 + 4x + y = 12 + 3x + 2y

Solving
1 + 4x + y = 12 + 3x + 2y

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.
1 + 4x + -3x + y = 12 + 3x + -3x + 2y

Combine like terms: 4x + -3x = 1x
1 + 1x + y = 12 + 3x + -3x + 2y

Combine like terms: 3x + -3x = 0
1 + 1x + y = 12 + 0 + 2y
1 + 1x + y = 12 + 2y

Add '-1' to each side of the equation.
1 + 1x + -1 + y = 12 + -1 + 2y

Reorder the terms:
1 + -1 + 1x + y = 12 + -1 + 2y

Combine like terms: 1 + -1 = 0
0 + 1x + y = 12 + -1 + 2y
1x + y = 12 + -1 + 2y

Combine like terms: 12 + -1 = 11
1x + y = 11 + 2y

Add '-1y' to each side of the equation.
1x + y + -1y = 11 + 2y + -1y

Combine like terms: y + -1y = 0
1x + 0 = 11 + 2y + -1y
1x = 11 + 2y + -1y

Combine like terms: 2y + -1y = 1y
1x = 11 + 1y

Divide each side by '1'.
x = 11 + 1y

Simplifying
x = 11 + 1y

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