3x-4y+12=11x+48

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Solution for 3x-4y+12=11x+48 equation:


Simplifying
3x + -4y + 12 = 11x + 48

Reorder the terms:
12 + 3x + -4y = 11x + 48

Reorder the terms:
12 + 3x + -4y = 48 + 11x

Solving
12 + 3x + -4y = 48 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
12 + 3x + -11x + -4y = 48 + 11x + -11x

Combine like terms: 3x + -11x = -8x
12 + -8x + -4y = 48 + 11x + -11x

Combine like terms: 11x + -11x = 0
12 + -8x + -4y = 48 + 0
12 + -8x + -4y = 48

Add '-12' to each side of the equation.
12 + -8x + -12 + -4y = 48 + -12

Reorder the terms:
12 + -12 + -8x + -4y = 48 + -12

Combine like terms: 12 + -12 = 0
0 + -8x + -4y = 48 + -12
-8x + -4y = 48 + -12

Combine like terms: 48 + -12 = 36
-8x + -4y = 36

Add '4y' to each side of the equation.
-8x + -4y + 4y = 36 + 4y

Combine like terms: -4y + 4y = 0
-8x + 0 = 36 + 4y
-8x = 36 + 4y

Divide each side by '-8'.
x = -4.5 + -0.5y

Simplifying
x = -4.5 + -0.5y

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