4x+3y+9=10x+12

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Solution for 4x+3y+9=10x+12 equation:


Simplifying
4x + 3y + 9 = 10x + 12

Reorder the terms:
9 + 4x + 3y = 10x + 12

Reorder the terms:
9 + 4x + 3y = 12 + 10x

Solving
9 + 4x + 3y = 12 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
9 + 4x + -10x + 3y = 12 + 10x + -10x

Combine like terms: 4x + -10x = -6x
9 + -6x + 3y = 12 + 10x + -10x

Combine like terms: 10x + -10x = 0
9 + -6x + 3y = 12 + 0
9 + -6x + 3y = 12

Add '-9' to each side of the equation.
9 + -6x + -9 + 3y = 12 + -9

Reorder the terms:
9 + -9 + -6x + 3y = 12 + -9

Combine like terms: 9 + -9 = 0
0 + -6x + 3y = 12 + -9
-6x + 3y = 12 + -9

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

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

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

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

Simplifying
x = -0.5 + 0.5y

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