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

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

Solve for x

$$x = \frac{23}{7} = 3\frac{2}{7} \approx 3.285714286$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$5x+3=12x-20$$

Subtract 12x from both sides.

$$5x+3-12x=-20$$

Combine 5x and -12x to get -7x.

$$-7x+3=-20$$

Subtract 3 from both sides.

$$-7x=-20-3$$

Subtract 3 from -20 to get -23.

$$-7x=-23$$

Divide both sides by -7.

$$x=\frac{-23}{-7}$$

Fraction \frac{-23}{-7} can be simplified to \frac{23}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{23}{7}$$