Solve 4left(x-4right)+4x-4left(4-xright)=4left(4x-4right)+4left(4-4xright)

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

Solve for x

$$x = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667$$

Steps for Solving Linear Equation

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

$$4x-16+4x-4\left(4-x\right)=4\left(4x-4\right)+4\left(4-4x\right)$$

Combine 4x and 4x to get 8x.

$$8x-16-4\left(4-x\right)=4\left(4x-4\right)+4\left(4-4x\right)$$

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

$$8x-16-16+4x=4\left(4x-4\right)+4\left(4-4x\right)$$

Subtract 16 from -16 to get -32.

$$8x-32+4x=4\left(4x-4\right)+4\left(4-4x\right)$$

Combine 8x and 4x to get 12x.

$$12x-32=4\left(4x-4\right)+4\left(4-4x\right)$$

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

$$12x-32=16x-16+4\left(4-4x\right)$$

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

$$12x-32=16x-16+16-16x$$

Add -16 and 16 to get 0.

$$12x-32=16x-16x$$

Combine 16x and -16x to get 0.

$$12x-32=0$$

Add 32 to both sides. Anything plus zero gives itself.

$$12x=32$$

Divide both sides by 12.

$$x=\frac{32}{12}$$

Reduce the fraction \frac{32}{12} to lowest terms by extracting and canceling out 4.

$$x=\frac{8}{3}$$