Solve 2x+1/3-10x+1/6=1

$$\frac{ 2x+1 }{ 3 } - \frac{ 10x+1 }{ 6 } =1$$

Solve for x

$$x=-\frac{5}{6}\approx -0.833333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,6.

$$2\left(2x+1\right)-\left(10x+1\right)=6$$

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

$$4x+2-\left(10x+1\right)=6$$

To find the opposite of 10x+1, find the opposite of each term.

$$4x+2-10x-1=6$$

Combine 4x and -10x to get -6x.

$$-6x+2-1=6$$

Subtract 1 from 2 to get 1.

$$-6x+1=6$$

Subtract 1 from both sides.

$$-6x=6-1$$

Subtract 1 from 6 to get 5.

$$-6x=5$$

Divide both sides by -6.

$$x=\frac{5}{-6}$$

Fraction \frac{5}{-6} can be rewritten as -\frac{5}{6} by extracting the negative sign.

$$x=-\frac{5}{6}$$