Solve x+3/10+x-3/2=2x+1/5

$$\frac{ x+3 }{ 10 } + \frac{ x-3 }{ 2 } = \frac{ 2x+1 }{ 5 }$$

Solve for x

$$x=7$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 10,2,5.

$$x+3+5\left(x-3\right)=2\left(2x+1\right)$$

Use the distributive property to multiply 5 by x-3.

$$x+3+5x-15=2\left(2x+1\right)$$

Combine x and 5x to get 6x.

$$6x+3-15=2\left(2x+1\right)$$

Subtract 15 from 3 to get -12.

$$6x-12=2\left(2x+1\right)$$

Use the distributive property to multiply 2 by 2x+1.

$$6x-12=4x+2$$

Subtract 4x from both sides.

$$6x-12-4x=2$$

Combine 6x and -4x to get 2x.

$$2x-12=2$$

Add 12 to both sides.

$$2x=2+12$$

Add 2 and 12 to get 14.

$$2x=14$$

Divide both sides by 2.

$$x=\frac{14}{2}$$

Divide 14 by 2 to get 7.

$$x=7$$