6x+3y-3=15x+12

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Solution for 6x+3y-3=15x+12 equation:


Simplifying
6x + 3y + -3 = 15x + 12

Reorder the terms:
-3 + 6x + 3y = 15x + 12

Reorder the terms:
-3 + 6x + 3y = 12 + 15x

Solving
-3 + 6x + 3y = 12 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-3 + 6x + -15x + 3y = 12 + 15x + -15x

Combine like terms: 6x + -15x = -9x
-3 + -9x + 3y = 12 + 15x + -15x

Combine like terms: 15x + -15x = 0
-3 + -9x + 3y = 12 + 0
-3 + -9x + 3y = 12

Add '3' to each side of the equation.
-3 + -9x + 3 + 3y = 12 + 3

Reorder the terms:
-3 + 3 + -9x + 3y = 12 + 3

Combine like terms: -3 + 3 = 0
0 + -9x + 3y = 12 + 3
-9x + 3y = 12 + 3

Combine like terms: 12 + 3 = 15
-9x + 3y = 15

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

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

Divide each side by '-9'.
x = -1.666666667 + 0.3333333333y

Simplifying
x = -1.666666667 + 0.3333333333y

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