Solve 3(x+1)=8(x-1/4)

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

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

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

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

Express 8\left(-\frac{1}{4}\right) as a single fraction.

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

Multiply 8 and -1 to get -8.

$$3x+3=8x+\frac{-8}{4}$$

Divide -8 by 4 to get -2.

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

Subtract 8x from both sides.

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

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

$$-5x+3=-2$$

Subtract 3 from both sides.

$$-5x=-2-3$$

Subtract 3 from -2 to get -5.

$$-5x=-5$$

Divide both sides by -5.

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

Divide -5 by -5 to get 1.

$$x=1$$