2x+3y-6=15-7x

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Solution for 2x+3y-6=15-7x equation:


Simplifying
2x + 3y + -6 = 15 + -7x

Reorder the terms:
-6 + 2x + 3y = 15 + -7x

Solving
-6 + 2x + 3y = 15 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-6 + 2x + 7x + 3y = 15 + -7x + 7x

Combine like terms: 2x + 7x = 9x
-6 + 9x + 3y = 15 + -7x + 7x

Combine like terms: -7x + 7x = 0
-6 + 9x + 3y = 15 + 0
-6 + 9x + 3y = 15

Add '6' to each side of the equation.
-6 + 9x + 6 + 3y = 15 + 6

Reorder the terms:
-6 + 6 + 9x + 3y = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 9x + 3y = 15 + 6
9x + 3y = 15 + 6

Combine like terms: 15 + 6 = 21
9x + 3y = 21

Add '-3y' to each side of the equation.
9x + 3y + -3y = 21 + -3y

Combine like terms: 3y + -3y = 0
9x + 0 = 21 + -3y
9x = 21 + -3y

Divide each side by '9'.
x = 2.333333333 + -0.3333333333y

Simplifying
x = 2.333333333 + -0.3333333333y

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