Solve 2/71/2left(x+7right)=222/7

$$\frac{ 2 }{ 7 } \frac{ 1 }{ 2 } \left( x+7 \right) = 22 \frac{ 2 }{ 7 }$$

Solve for x

$$x=149$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 14, the least common multiple of 7,2.

$$4\times \frac{1}{2}\left(x+7\right)=2\left(22\times 7+2\right)$$

Multiply 4 and \frac{1}{2} to get \frac{4}{2}.

$$\frac{4}{2}\left(x+7\right)=2\left(22\times 7+2\right)$$

Divide 4 by 2 to get 2.

$$2\left(x+7\right)=2\left(22\times 7+2\right)$$

Use the distributive property to multiply 2 by x+7.

$$2x+14=2\left(22\times 7+2\right)$$

Multiply 22 and 7 to get 154.

$$2x+14=2\left(154+2\right)$$

Add 154 and 2 to get 156.

$$2x+14=2\times 156$$

Multiply 2 and 156 to get 312.

$$2x+14=312$$

Subtract 14 from both sides.

$$2x=312-14$$

Subtract 14 from 312 to get 298.

$$2x=298$$

Divide both sides by 2.

$$x=\frac{298}{2}$$

Divide 298 by 2 to get 149.

$$x=149$$