Solve left(x+12/2right)*9/4-21/4=-3

$$\left( x+1 \frac{ 2 }{ 2 } \right) \times \frac{ 9 }{ 4 } -2 \frac{ 1 }{ 4 } = -3$$

Solve for x

$$x = -\frac{7}{3} = -2\frac{1}{3} \approx -2.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 2,4.

$$4\left(x+\frac{1\times 2+2}{2}\right)\times \frac{9}{4}-\left(2\times 4+1\right)=-12$$

Multiply 1 and 2 to get 2.

$$4\left(x+\frac{2+2}{2}\right)\times \frac{9}{4}-\left(2\times 4+1\right)=-12$$

Add 2 and 2 to get 4.

$$4\left(x+\frac{4}{2}\right)\times \frac{9}{4}-\left(2\times 4+1\right)=-12$$

Divide 4 by 2 to get 2.

$$4\left(x+2\right)\times \frac{9}{4}-\left(2\times 4+1\right)=-12$$

Cancel out 4 and 4.

$$9\left(x+2\right)-\left(2\times 4+1\right)=-12$$

Use the distributive property to multiply 9 by x+2.

$$9x+18-\left(2\times 4+1\right)=-12$$

Multiply 2 and 4 to get 8.

$$9x+18-\left(8+1\right)=-12$$

Add 8 and 1 to get 9.

$$9x+18-9=-12$$

Subtract 9 from 18 to get 9.

$$9x+9=-12$$

Subtract 9 from both sides.

$$9x=-12-9$$

Subtract 9 from -12 to get -21.

$$9x=-21$$

Divide both sides by 9.

$$x=\frac{-21}{9}$$

Reduce the fraction \frac{-21}{9} to lowest terms by extracting and canceling out 3.

$$x=-\frac{7}{3}$$