Solve 9/20-5(x+3)/4=2x/5

$$\frac { 9 } { 20 } - \frac { 5 ( x + 3 ) } { 4 } = \frac { 2 x } { 5 }$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

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

$$9-5\times 5\left(x+3\right)=4\times 2x$$

Multiply -5 and 5 to get -25.

$$9-25\left(x+3\right)=4\times 2x$$

Use the distributive property to multiply -25 by x+3.

$$9-25x-75=4\times 2x$$

Subtract 75 from 9 to get -66.

$$-66-25x=4\times 2x$$

Multiply 4 and 2 to get 8.

$$-66-25x=8x$$

Subtract 8x from both sides.

$$-66-25x-8x=0$$

Combine -25x and -8x to get -33x.

$$-66-33x=0$$

Add 66 to both sides. Anything plus zero gives itself.

$$-33x=66$$

Divide both sides by -33.

$$x=\frac{66}{-33}$$

Divide 66 by -33 to get -2.

$$x=-2$$