Solve 20-2(x+4)=5(x-4)-14

$$20-2(x+4)=5(x-4)-14$$

Solve for x

$$x = \frac{46}{7} = 6\frac{4}{7} \approx 6.571428571$$

Steps for Solving Linear Equation

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

$$20-2x-8=5\left(x-4\right)-14$$

Subtract 8 from 20 to get 12.

$$12-2x=5\left(x-4\right)-14$$

Use the distributive property to multiply 5 by x-4.

$$12-2x=5x-20-14$$

Subtract 14 from -20 to get -34.

$$12-2x=5x-34$$

Subtract 5x from both sides.

$$12-2x-5x=-34$$

Combine -2x and -5x to get -7x.

$$12-7x=-34$$

Subtract 12 from both sides.

$$-7x=-34-12$$

Subtract 12 from -34 to get -46.

$$-7x=-46$$

Divide both sides by -7.

$$x=\frac{-46}{-7}$$

Fraction \frac{-46}{-7} can be simplified to \frac{46}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{46}{7}$$