3x+y-25=x+3y-7

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Solution for 3x+y-25=x+3y-7 equation:


Simplifying
3x + y + -25 = x + 3y + -7

Reorder the terms:
-25 + 3x + y = x + 3y + -7

Reorder the terms:
-25 + 3x + y = -7 + x + 3y

Solving
-25 + 3x + y = -7 + x + 3y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-25 + 3x + -1x + y = -7 + x + -1x + 3y

Combine like terms: 3x + -1x = 2x
-25 + 2x + y = -7 + x + -1x + 3y

Combine like terms: x + -1x = 0
-25 + 2x + y = -7 + 0 + 3y
-25 + 2x + y = -7 + 3y

Add '25' to each side of the equation.
-25 + 2x + 25 + y = -7 + 25 + 3y

Reorder the terms:
-25 + 25 + 2x + y = -7 + 25 + 3y

Combine like terms: -25 + 25 = 0
0 + 2x + y = -7 + 25 + 3y
2x + y = -7 + 25 + 3y

Combine like terms: -7 + 25 = 18
2x + y = 18 + 3y

Add '-1y' to each side of the equation.
2x + y + -1y = 18 + 3y + -1y

Combine like terms: y + -1y = 0
2x + 0 = 18 + 3y + -1y
2x = 18 + 3y + -1y

Combine like terms: 3y + -1y = 2y
2x = 18 + 2y

Divide each side by '2'.
x = 9 + y

Simplifying
x = 9 + y

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