Solve 33x-55/44-12x-36/144=1/2

$$\frac { 33 x - 55 } { 44 } - \frac { 12 x - 36 } { 144 } = \frac { 1 } { 2 }$$

Solve for x

$$x = \frac{9}{4} = 2\frac{1}{4} = 2.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 1584, the least common multiple of 44,144,2.

$$36\left(33x-55\right)-11\left(12x-36\right)=792$$

Use the distributive property to multiply 36 by 33x-55.

$$1188x-1980-11\left(12x-36\right)=792$$

Use the distributive property to multiply -11 by 12x-36.

$$1188x-1980-132x+396=792$$

Combine 1188x and -132x to get 1056x.

$$1056x-1980+396=792$$

Add -1980 and 396 to get -1584.

$$1056x-1584=792$$

Add 1584 to both sides.

$$1056x=792+1584$$

Add 792 and 1584 to get 2376.

$$1056x=2376$$

Divide both sides by 1056.

$$x=\frac{2376}{1056}$$

Reduce the fraction \frac{2376}{1056} to lowest terms by extracting and canceling out 264.

$$x=\frac{9}{4}$$