Solve 2-x=7/5+17/4

$$2-x= \frac{ 7 }{ 5 } + \frac{ 17 }{ 4 }$$

Solve for x

$$x = -\frac{73}{20} = -3\frac{13}{20} = -3.65$$

Steps for Solving Linear Equation

Least common multiple of 5 and 4 is 20. Convert \frac{7}{5} and \frac{17}{4} to fractions with denominator 20.

$$2-x=\frac{28}{20}+\frac{85}{20}$$

Since \frac{28}{20} and \frac{85}{20} have the same denominator, add them by adding their numerators.

$$2-x=\frac{28+85}{20}$$

Add 28 and 85 to get 113.

$$2-x=\frac{113}{20}$$

Subtract 2 from both sides.

$$-x=\frac{113}{20}-2$$

Convert 2 to fraction \frac{40}{20}.

$$-x=\frac{113}{20}-\frac{40}{20}$$

Since \frac{113}{20} and \frac{40}{20} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{113-40}{20}$$

Subtract 40 from 113 to get 73.

$$-x=\frac{73}{20}$$

Multiply both sides by -1.

$$x=-\frac{73}{20}$$