3x+2y+1=-22+7y-x

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Solution for 3x+2y+1=-22+7y-x equation:


Simplifying
3x + 2y + 1 = -22 + 7y + -1x

Reorder the terms:
1 + 3x + 2y = -22 + 7y + -1x

Reorder the terms:
1 + 3x + 2y = -22 + -1x + 7y

Solving
1 + 3x + 2y = -22 + -1x + 7y

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
1 + 3x + x + 2y = -22 + -1x + x + 7y

Combine like terms: 3x + x = 4x
1 + 4x + 2y = -22 + -1x + x + 7y

Combine like terms: -1x + x = 0
1 + 4x + 2y = -22 + 0 + 7y
1 + 4x + 2y = -22 + 7y

Add '-1' to each side of the equation.
1 + 4x + -1 + 2y = -22 + -1 + 7y

Reorder the terms:
1 + -1 + 4x + 2y = -22 + -1 + 7y

Combine like terms: 1 + -1 = 0
0 + 4x + 2y = -22 + -1 + 7y
4x + 2y = -22 + -1 + 7y

Combine like terms: -22 + -1 = -23
4x + 2y = -23 + 7y

Add '-2y' to each side of the equation.
4x + 2y + -2y = -23 + 7y + -2y

Combine like terms: 2y + -2y = 0
4x + 0 = -23 + 7y + -2y
4x = -23 + 7y + -2y

Combine like terms: 7y + -2y = 5y
4x = -23 + 5y

Divide each side by '4'.
x = -5.75 + 1.25y

Simplifying
x = -5.75 + 1.25y

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