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

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

Solve for x

$$x = -\frac{13}{4} = -3\frac{1}{4} = -3.25$$

Steps for Solving Linear Equation

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

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

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

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

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

$$-4x+2=15$$

Subtract 2 from both sides.

$$-4x=15-2$$

Subtract 2 from 15 to get 13.

$$-4x=13$$

Divide both sides by -4.

$$x=\frac{13}{-4}$$

Fraction \frac{13}{-4} can be rewritten as -\frac{13}{4} by extracting the negative sign.

$$x=-\frac{13}{4}$$