6x-7+3y=9x-2y+8

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Solution for 6x-7+3y=9x-2y+8 equation:


Simplifying
6x + -7 + 3y = 9x + -2y + 8

Reorder the terms:
-7 + 6x + 3y = 9x + -2y + 8

Reorder the terms:
-7 + 6x + 3y = 8 + 9x + -2y

Solving
-7 + 6x + 3y = 8 + 9x + -2y

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-7 + 6x + -9x + 3y = 8 + 9x + -9x + -2y

Combine like terms: 6x + -9x = -3x
-7 + -3x + 3y = 8 + 9x + -9x + -2y

Combine like terms: 9x + -9x = 0
-7 + -3x + 3y = 8 + 0 + -2y
-7 + -3x + 3y = 8 + -2y

Add '7' to each side of the equation.
-7 + -3x + 7 + 3y = 8 + 7 + -2y

Reorder the terms:
-7 + 7 + -3x + 3y = 8 + 7 + -2y

Combine like terms: -7 + 7 = 0
0 + -3x + 3y = 8 + 7 + -2y
-3x + 3y = 8 + 7 + -2y

Combine like terms: 8 + 7 = 15
-3x + 3y = 15 + -2y

Add '-3y' to each side of the equation.
-3x + 3y + -3y = 15 + -2y + -3y

Combine like terms: 3y + -3y = 0
-3x + 0 = 15 + -2y + -3y
-3x = 15 + -2y + -3y

Combine like terms: -2y + -3y = -5y
-3x = 15 + -5y

Divide each side by '-3'.
x = -5 + 1.666666667y

Simplifying
x = -5 + 1.666666667y

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