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

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

Solve for x

$$x = \frac{17}{3} = 5\frac{2}{3} \approx 5.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 2,4.

$$2\left(x+5\right)=5x-7$$

Use the distributive property to multiply 2 by x+5.

$$2x+10=5x-7$$

Subtract 5x from both sides.

$$2x+10-5x=-7$$

Combine 2x and -5x to get -3x.

$$-3x+10=-7$$

Subtract 10 from both sides.

$$-3x=-7-10$$

Subtract 10 from -7 to get -17.

$$-3x=-17$$

Divide both sides by -3.

$$x=\frac{-17}{-3}$$

Fraction \frac{-17}{-3} can be simplified to \frac{17}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{17}{3}$$