Solve 12=20*17+44x/242+44x

$$12 = \frac { 20 \cdot 17 + 44 x } { 242 + 44 x }$$

Solve for x

$$x = -\frac{641}{121} = -5\frac{36}{121} \approx -5.297520661$$

Steps for Solving Linear Equation

Variable x cannot be equal to -\frac{11}{2} since division by zero is not defined. Multiply both sides of the equation by 22\left(2x+11\right).

$$264\left(2x+11\right)=20\times 17+44x$$

Use the distributive property to multiply 264 by 2x+11.

$$528x+2904=20\times 17+44x$$

Multiply 20 and 17 to get 340.

$$528x+2904=340+44x$$

Subtract 44x from both sides.

$$528x+2904-44x=340$$

Combine 528x and -44x to get 484x.

$$484x+2904=340$$

Subtract 2904 from both sides.

$$484x=340-2904$$

Subtract 2904 from 340 to get -2564.

$$484x=-2564$$

Divide both sides by 484.

$$x=\frac{-2564}{484}$$

Reduce the fraction \frac{-2564}{484} to lowest terms by extracting and canceling out 4.

$$x=-\frac{641}{121}$$