Solve 21/4x-3/5=-11/20

$$2 \frac { 1 } { 4 } x - \frac { 3 } { 5 } = - 1 \frac { 1 } { 20 }$$

Solve for x

$$x=-\frac{1}{5}=-0.2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 4,5,20.

$$5\left(2\times 4+1\right)x-12=-\left(1\times 20+1\right)$$

Multiply 2 and 4 to get 8.

$$5\left(8+1\right)x-12=-\left(1\times 20+1\right)$$

Add 8 and 1 to get 9.

$$5\times 9x-12=-\left(1\times 20+1\right)$$

Multiply 5 and 9 to get 45.

$$45x-12=-\left(1\times 20+1\right)$$

Multiply 1 and 20 to get 20.

$$45x-12=-\left(20+1\right)$$

Add 20 and 1 to get 21.

$$45x-12=-21$$

Add 12 to both sides.

$$45x=-21+12$$

Add -21 and 12 to get -9.

$$45x=-9$$

Divide both sides by 45.

$$x=\frac{-9}{45}$$

Reduce the fraction \frac{-9}{45} to lowest terms by extracting and canceling out 9.

$$x=-\frac{1}{5}$$