Solve x+16/4=4/7x-2

$$\frac { x + 16 } { 4 } = \frac { 4 } { 7 } x - 2$$

Solve for x

$$x = \frac{56}{3} = 18\frac{2}{3} \approx 18.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 28, the least common multiple of 4,7.

$$7\left(x+16\right)=16x-56$$

Use the distributive property to multiply 7 by x+16.

$$7x+112=16x-56$$

Subtract 16x from both sides.

$$7x+112-16x=-56$$

Combine 7x and -16x to get -9x.

$$-9x+112=-56$$

Subtract 112 from both sides.

$$-9x=-56-112$$

Subtract 112 from -56 to get -168.

$$-9x=-168$$

Divide both sides by -9.

$$x=\frac{-168}{-9}$$

Reduce the fraction \frac{-168}{-9} to lowest terms by extracting and canceling out -3.

$$x=\frac{56}{3}$$