Solve 42/3x=-172/3

$$4 \frac { 2 } { 3 } x = - 17 \frac { 2 } { 3 }$$

Solve for x

$$x = -\frac{53}{14} = -3\frac{11}{14} \approx -3.785714286$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$\left(4\times 3+2\right)x=-\left(17\times 3+2\right)$$

Multiply 4 and 3 to get 12.

$$\left(12+2\right)x=-\left(17\times 3+2\right)$$

Add 12 and 2 to get 14.

$$14x=-\left(17\times 3+2\right)$$

Multiply 17 and 3 to get 51.

$$14x=-\left(51+2\right)$$

Add 51 and 2 to get 53.

$$14x=-53$$

Divide both sides by 14.

$$x=\frac{-53}{14}$$

Fraction \frac{-53}{14} can be rewritten as -\frac{53}{14} by extracting the negative sign.

$$x=-\frac{53}{14}$$