Solve x+1/3=-7/5

$$\frac{ x+1 }{ 3 } = \frac{ -7 }{ 5 }$$

Solve for x

$$x = -\frac{26}{5} = -5\frac{1}{5} = -5.2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 3,5.

$$5\left(x+1\right)=3\left(-7\right)$$

Use the distributive property to multiply 5 by x+1.

$$5x+5=3\left(-7\right)$$

Multiply 3 and -7 to get -21.

$$5x+5=-21$$

Subtract 5 from both sides.

$$5x=-21-5$$

Subtract 5 from -21 to get -26.

$$5x=-26$$

Divide both sides by 5.

$$x=\frac{-26}{5}$$

Fraction \frac{-26}{5} can be rewritten as -\frac{26}{5} by extracting the negative sign.

$$x=-\frac{26}{5}$$