Solve x+5div2=5x-7div4

$$x+5 \div 2=5x-7 \div 4$$

Solve for x

$$x = \frac{17}{16} = 1\frac{1}{16} = 1.0625$$

Steps for Solving Linear Equation

Subtract 5x from both sides.

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

Combine x and -5x to get -4x.

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

Subtract \frac{5}{2} from both sides.

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

Least common multiple of 4 and 2 is 4. Convert -\frac{7}{4} and \frac{5}{2} to fractions with denominator 4.

$$-4x=-\frac{7}{4}-\frac{10}{4}$$

Since -\frac{7}{4} and \frac{10}{4} have the same denominator, subtract them by subtracting their numerators.

$$-4x=\frac{-7-10}{4}$$

Subtract 10 from -7 to get -17.

$$-4x=-\frac{17}{4}$$

Divide both sides by -4.

$$x=\frac{-\frac{17}{4}}{-4}$$

Express \frac{-\frac{17}{4}}{-4} as a single fraction.

$$x=\frac{-17}{4\left(-4\right)}$$

Multiply 4 and -4 to get -16.

$$x=\frac{-17}{-16}$$

Fraction \frac{-17}{-16} can be simplified to \frac{17}{16} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{17}{16}$$