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

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

Solve for x

$$x = -\frac{17}{5} = -3\frac{2}{5} = -3.4$$

Steps for Solving Linear Equation

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

$$4\left(2x-1\right)+24=3\left(x+1\right)$$

Use the distributive property to multiply 4 by 2x-1.

$$8x-4+24=3\left(x+1\right)$$

Add -4 and 24 to get 20.

$$8x+20=3\left(x+1\right)$$

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

$$8x+20=3x+3$$

Subtract 3x from both sides.

$$8x+20-3x=3$$

Combine 8x and -3x to get 5x.

$$5x+20=3$$

Subtract 20 from both sides.

$$5x=3-20$$

Subtract 20 from 3 to get -17.

$$5x=-17$$

Divide both sides by 5.

$$x=\frac{-17}{5}$$

Fraction \frac{-17}{5} can be rewritten as -\frac{17}{5} by extracting the negative sign.

$$x=-\frac{17}{5}$$