5x+12y-10=3x-9

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Solution for 5x+12y-10=3x-9 equation:


Simplifying
5x + 12y + -10 = 3x + -9

Reorder the terms:
-10 + 5x + 12y = 3x + -9

Reorder the terms:
-10 + 5x + 12y = -9 + 3x

Solving
-10 + 5x + 12y = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 5x + -3x + 12y = -9 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-10 + 2x + 12y = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 2x + 12y = -9 + 0
-10 + 2x + 12y = -9

Add '10' to each side of the equation.
-10 + 2x + 10 + 12y = -9 + 10

Reorder the terms:
-10 + 10 + 2x + 12y = -9 + 10

Combine like terms: -10 + 10 = 0
0 + 2x + 12y = -9 + 10
2x + 12y = -9 + 10

Combine like terms: -9 + 10 = 1
2x + 12y = 1

Add '-12y' to each side of the equation.
2x + 12y + -12y = 1 + -12y

Combine like terms: 12y + -12y = 0
2x + 0 = 1 + -12y
2x = 1 + -12y

Divide each side by '2'.
x = 0.5 + -6y

Simplifying
x = 0.5 + -6y

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