Solve 71/14+3x=2

$$\frac{ 71 }{ 14 } +3x=2$$

Solve for x

$$x = -\frac{43}{42} = -1\frac{1}{42} \approx -1.023809524$$

Steps for Solving Linear Equation

Subtract \frac{71}{14} from both sides.

$$3x=2-\frac{71}{14}$$

Convert 2 to fraction \frac{28}{14}.

$$3x=\frac{28}{14}-\frac{71}{14}$$

Since \frac{28}{14} and \frac{71}{14} have the same denominator, subtract them by subtracting their numerators.

$$3x=\frac{28-71}{14}$$

Subtract 71 from 28 to get -43.

$$3x=-\frac{43}{14}$$

Divide both sides by 3.

$$x=\frac{-\frac{43}{14}}{3}$$

Express \frac{-\frac{43}{14}}{3} as a single fraction.

$$x=\frac{-43}{14\times 3}$$

Multiply 14 and 3 to get 42.

$$x=\frac{-43}{42}$$

Fraction \frac{-43}{42} can be rewritten as -\frac{43}{42} by extracting the negative sign.

$$x=-\frac{43}{42}$$