Solve quad5-1(x-4)=4(x+1)

$$\quad 5 - 1 ( x - 4 ) = 4 ( x + 1 )$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

To find the opposite of x-4, find the opposite of each term.

$$5-x-\left(-4\right)=4\left(x+1\right)$$

The opposite of -4 is 4.

$$5-x+4=4\left(x+1\right)$$

Add 5 and 4 to get 9.

$$9-x=4\left(x+1\right)$$

Use the distributive property to multiply 4 by x+1.

$$9-x=4x+4$$

Subtract 4x from both sides.

$$9-x-4x=4$$

Combine -x and -4x to get -5x.

$$9-5x=4$$

Subtract 9 from both sides.

$$-5x=4-9$$

Subtract 9 from 4 to get -5.

$$-5x=-5$$

Divide both sides by -5.

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

Divide -5 by -5 to get 1.

$$x=1$$