Solve (sqrt{49}*x-9137+100^2-863)-1/2=(154)

$$( \sqrt{ 49 } \times x-9137+ { 100 }^{ 2 } -863)- \frac{ 1 }{ 2 } =(154)$$

Solve for x

$$x = \frac{309}{14} = 22\frac{1}{14} \approx 22.071428571$$

Steps for Solving Linear Equation

Calculate the square root of 49 and get 7.

$$7x-9137+100^{2}-863-\frac{1}{2}=154$$

Calculate 100 to the power of 2 and get 10000.

$$7x-9137+10000-863-\frac{1}{2}=154$$

Add -9137 and 10000 to get 863.

$$7x+863-863-\frac{1}{2}=154$$

Subtract 863 from 863 to get 0.

$$7x-\frac{1}{2}=154$$

Add \frac{1}{2} to both sides.

$$7x=154+\frac{1}{2}$$

Convert 154 to fraction \frac{308}{2}.

$$7x=\frac{308}{2}+\frac{1}{2}$$

Since \frac{308}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$7x=\frac{308+1}{2}$$

Add 308 and 1 to get 309.

$$7x=\frac{309}{2}$$

Divide both sides by 7.

$$x=\frac{\frac{309}{2}}{7}$$

Express \frac{\frac{309}{2}}{7} as a single fraction.

$$x=\frac{309}{2\times 7}$$

Multiply 2 and 7 to get 14.

$$x=\frac{309}{14}$$