Solve 31/2x=-34/7

$$3 \frac { 1 } { 2 } x = - 3 \frac { 4 } { 7 }$$

Solve for x

$$x = -\frac{50}{49} = -1\frac{1}{49} \approx -1.020408163$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 14, the least common multiple of 2,7.

$$7\left(3\times 2+1\right)x=-2\left(3\times 7+4\right)$$

Multiply 3 and 2 to get 6.

$$7\left(6+1\right)x=-2\left(3\times 7+4\right)$$

Add 6 and 1 to get 7.

$$7\times 7x=-2\left(3\times 7+4\right)$$

Multiply 7 and 7 to get 49.

$$49x=-2\left(3\times 7+4\right)$$

Multiply 3 and 7 to get 21.

$$49x=-2\left(21+4\right)$$

Add 21 and 4 to get 25.

$$49x=-2\times 25$$

Multiply -2 and 25 to get -50.

$$49x=-50$$

Divide both sides by 49.

$$x=\frac{-50}{49}$$

Fraction \frac{-50}{49} can be rewritten as -\frac{50}{49} by extracting the negative sign.

$$x=-\frac{50}{49}$$