Solve x/3+8=184-x/7

$$\frac { x } { 3 } + 8 = \frac { 184 - x } { 7 }$$

Solve for x

$$x = \frac{192}{5} = 38\frac{2}{5} = 38.4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 3,7.

$$7x+168=3\left(184-x\right)$$

Use the distributive property to multiply 3 by 184-x.

$$7x+168=552-3x$$

Add 3x to both sides.

$$7x+168+3x=552$$

Combine 7x and 3x to get 10x.

$$10x+168=552$$

Subtract 168 from both sides.

$$10x=552-168$$

Subtract 168 from 552 to get 384.

$$10x=384$$

Divide both sides by 10.

$$x=\frac{384}{10}$$

Reduce the fraction \frac{384}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{192}{5}$$