Solve x+1/3=2x-3/4+1

$$x+ \frac{ 1 }{ 3 } = \frac{ 2x-3 }{ 4 } +1$$

Solve for x

$$x=-\frac{1}{6}\approx -0.166666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$12x+4=3\left(2x-3\right)+12$$

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

$$12x+4=6x-9+12$$

Add -9 and 12 to get 3.

$$12x+4=6x+3$$

Subtract 6x from both sides.

$$12x+4-6x=3$$

Combine 12x and -6x to get 6x.

$$6x+4=3$$

Subtract 4 from both sides.

$$6x=3-4$$

Subtract 4 from 3 to get -1.

$$6x=-1$$

Divide both sides by 6.

$$x=\frac{-1}{6}$$

Fraction \frac{-1}{6} can be rewritten as -\frac{1}{6} by extracting the negative sign.

$$x=-\frac{1}{6}$$