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

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

Solve for x

$$x=\frac{1}{13}\approx 0.076923077$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

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

Use the distributive property to multiply 3 by 5x+1.

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

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

$$15x+3=2x-2+6$$

Add -2 and 6 to get 4.

$$15x+3=2x+4$$

Subtract 2x from both sides.

$$15x+3-2x=4$$

Combine 15x and -2x to get 13x.

$$13x+3=4$$

Subtract 3 from both sides.

$$13x=4-3$$

Subtract 3 from 4 to get 1.

$$13x=1$$

Divide both sides by 13.

$$x=\frac{1}{13}$$