-12x+7.5y-6=21x+1.5y-48

Solution for -12x+7.5y-6=21x+1.5y-48 equation:

Simplifying
-12x + 7.5y + -6 = 21x + 1.5y + -48

Reorder the terms:
-6 + -12x + 7.5y = 21x + 1.5y + -48

Reorder the terms:
-6 + -12x + 7.5y = -48 + 21x + 1.5y

Solving
-6 + -12x + 7.5y = -48 + 21x + 1.5y

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-6 + -12x + -21x + 7.5y = -48 + 21x + -21x + 1.5y

Combine like terms: -12x + -21x = -33x
-6 + -33x + 7.5y = -48 + 21x + -21x + 1.5y

Combine like terms: 21x + -21x = 0
-6 + -33x + 7.5y = -48 + 0 + 1.5y
-6 + -33x + 7.5y = -48 + 1.5y

Add '6' to each side of the equation.
-6 + -33x + 6 + 7.5y = -48 + 6 + 1.5y

Reorder the terms:
-6 + 6 + -33x + 7.5y = -48 + 6 + 1.5y

Combine like terms: -6 + 6 = 0
0 + -33x + 7.5y = -48 + 6 + 1.5y
-33x + 7.5y = -48 + 6 + 1.5y

Combine like terms: -48 + 6 = -42
-33x + 7.5y = -42 + 1.5y

Add '-7.5y' to each side of the equation.
-33x + 7.5y + -7.5y = -42 + 1.5y + -7.5y

Combine like terms: 7.5y + -7.5y = 0.0
-33x + 0.0 = -42 + 1.5y + -7.5y
-33x = -42 + 1.5y + -7.5y

Combine like terms: 1.5y + -7.5y = -6y
-33x = -42 + -6y

Divide each side by '-33'.
x = 1.272727273 + 0.1818181818y

Simplifying
x = 1.272727273 + 0.1818181818y