Solve 13/20x=x+6/4-3x+1/10

$$\frac{ 13 }{ 20 } x= \frac{ x+6 }{ 4 } - \frac{ 3x+1 }{ 10 }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 20,4,10.

$$13x=5\left(x+6\right)-2\left(3x+1\right)$$

Use the distributive property to multiply 5 by x+6.

$$13x=5x+30-2\left(3x+1\right)$$

Use the distributive property to multiply -2 by 3x+1.

$$13x=5x+30-6x-2$$

Combine 5x and -6x to get -x.

$$13x=-x+30-2$$

Subtract 2 from 30 to get 28.

$$13x=-x+28$$

Add x to both sides.

$$13x+x=28$$

Combine 13x and x to get 14x.

$$14x=28$$

Divide both sides by 14.

$$x=\frac{28}{14}$$

Divide 28 by 14 to get 2.

$$x=2$$