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

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

Solve for x

$$x=-\frac{2}{5}=-0.4$$

Steps for Solving Linear Equation

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

$$4\left(2x-1\right)=3\left(x+2\right)-12$$

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

$$8x-4=3\left(x+2\right)-12$$

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

$$8x-4=3x+6-12$$

Subtract 12 from 6 to get -6.

$$8x-4=3x-6$$

Subtract 3x from both sides.

$$8x-4-3x=-6$$

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

$$5x-4=-6$$

Add 4 to both sides.

$$5x=-6+4$$

Add -6 and 4 to get -2.

$$5x=-2$$

Divide both sides by 5.

$$x=\frac{-2}{5}$$

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

$$x=-\frac{2}{5}$$