Solve 3x/5=-61/4

$$\frac { 3 x } { 5 } = - 6 \frac { 1 } { 4 }$$

Solve for x

$$x = -\frac{125}{12} = -10\frac{5}{12} \approx -10.416666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 5,4.

$$4\times 3x=-5\left(6\times 4+1\right)$$

Multiply 4 and 3 to get 12.

$$12x=-5\left(6\times 4+1\right)$$

Multiply 6 and 4 to get 24.

$$12x=-5\left(24+1\right)$$

Add 24 and 1 to get 25.

$$12x=-5\times 25$$

Multiply -5 and 25 to get -125.

$$12x=-125$$

Divide both sides by 12.

$$x=\frac{-125}{12}$$

Fraction \frac{-125}{12} can be rewritten as -\frac{125}{12} by extracting the negative sign.

$$x=-\frac{125}{12}$$