Solve x+3/5=x-4/2

$$\frac { x + 3 } { 5 } = \frac { x - 4 } { 2 }$$

Solve for x

$$x = \frac{26}{3} = 8\frac{2}{3} \approx 8.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,2.

$$2\left(x+3\right)=5\left(x-4\right)$$

Use the distributive property to multiply 2 by x+3.

$$2x+6=5\left(x-4\right)$$

Use the distributive property to multiply 5 by x-4.

$$2x+6=5x-20$$

Subtract 5x from both sides.

$$2x+6-5x=-20$$

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

$$-3x+6=-20$$

Subtract 6 from both sides.

$$-3x=-20-6$$

Subtract 6 from -20 to get -26.

$$-3x=-26$$

Divide both sides by -3.

$$x=\frac{-26}{-3}$$

Fraction \frac{-26}{-3} can be simplified to \frac{26}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{26}{3}$$