Solve 5x-5/3+4=4/7

$$\frac { 5 x - 5 } { 3 } + 4 = \frac { 4 } { 7 }$$

Solve for x

$$x = -\frac{37}{35} = -1\frac{2}{35} \approx -1.057142857$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 3,7.

$$7\left(5x-5\right)+84=12$$

Use the distributive property to multiply 7 by 5x-5.

$$35x-35+84=12$$

Add -35 and 84 to get 49.

$$35x+49=12$$

Subtract 49 from both sides.

$$35x=12-49$$

Subtract 49 from 12 to get -37.

$$35x=-37$$

Divide both sides by 35.

$$x=\frac{-37}{35}$$

Fraction \frac{-37}{35} can be rewritten as -\frac{37}{35} by extracting the negative sign.

$$x=-\frac{37}{35}$$