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

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

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

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

$$8\left(x+\frac{1}{4}\right)=3\left(x-1\right)$$

Use the distributive property to multiply 8 by x+\frac{1}{4}.

$$8x+8\times \frac{1}{4}=3\left(x-1\right)$$

Multiply 8 and \frac{1}{4} to get \frac{8}{4}.

$$8x+\frac{8}{4}=3\left(x-1\right)$$

Divide 8 by 4 to get 2.

$$8x+2=3\left(x-1\right)$$

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

$$8x+2=3x-3$$

Subtract 3x from both sides.

$$8x+2-3x=-3$$

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

$$5x+2=-3$$

Subtract 2 from both sides.

$$5x=-3-2$$

Subtract 2 from -3 to get -5.

$$5x=-5$$

Divide both sides by 5.

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

Divide -5 by 5 to get -1.

$$x=-1$$