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

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

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.

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

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

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

Add 1 and 6 to get 7.

$$4x+2=10x+7$$

Subtract 10x from both sides.

$$4x+2-10x=7$$

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

$$-6x+2=7$$

Subtract 2 from both sides.

$$-6x=7-2$$

Subtract 2 from 7 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.

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