Solve 5x-4/3-8=-2x+2/7

$$\frac{ 5x-4 }{ 3 } -8=- \frac{ 2x+2 }{ 7 }$$

Solve for x

$$x = \frac{190}{41} = 4\frac{26}{41} \approx 4.634146341$$

Steps for Solving Linear Equation

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

$$7\left(5x-4\right)-168=-3\left(2x+2\right)$$

Use the distributive property to multiply 7 by 5x-4.

$$35x-28-168=-3\left(2x+2\right)$$

Subtract 168 from -28 to get -196.

$$35x-196=-3\left(2x+2\right)$$

Use the distributive property to multiply -3 by 2x+2.

$$35x-196=-6x-6$$

Add 6x to both sides.

$$35x-196+6x=-6$$

Combine 35x and 6x to get 41x.

$$41x-196=-6$$

Add 196 to both sides.

$$41x=-6+196$$

Add -6 and 196 to get 190.

$$41x=190$$

Divide both sides by 41.

$$x=\frac{190}{41}$$