Solve 2/3x+7=-1/5x+3

$$\frac{ 2 }{ 3 } x+7=- \frac{ 1 }{ 5 } x+3$$

Solve for x

$$x = -\frac{60}{13} = -4\frac{8}{13} \approx -4.615384615$$

Steps for Solving Linear Equation

Add \frac{1}{5}x to both sides.

$$\frac{2}{3}x+7+\frac{1}{5}x=3$$

Combine \frac{2}{3}x and \frac{1}{5}x to get \frac{13}{15}x.

$$\frac{13}{15}x+7=3$$

Subtract 7 from both sides.

$$\frac{13}{15}x=3-7$$

Subtract 7 from 3 to get -4.

$$\frac{13}{15}x=-4$$

Multiply both sides by \frac{15}{13}, the reciprocal of \frac{13}{15}.

$$x=-4\times \frac{15}{13}$$

Express -4\times \frac{15}{13} as a single fraction.

$$x=\frac{-4\times 15}{13}$$

Multiply -4 and 15 to get -60.

$$x=\frac{-60}{13}$$

Fraction \frac{-60}{13} can be rewritten as -\frac{60}{13} by extracting the negative sign.

$$x=-\frac{60}{13}$$