Solve (5x+6*5+9*2+10)div(x+5+2+1)=6.8

$$(5x+6 \cdot 5+9 \times 2+10) \div (x+5+2+1)=6.8$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Variable x cannot be equal to -8 since division by zero is not defined. Multiply both sides of the equation by x+8.

$$5x+6\times 5+9\times 2+10=6.8\left(x+8\right)$$

Do the multiplications.

$$5x+30+18+10=6.8\left(x+8\right)$$

Add 30 and 18 to get 48.

$$5x+48+10=6.8\left(x+8\right)$$

Add 48 and 10 to get 58.

$$5x+58=6.8\left(x+8\right)$$

Use the distributive property to multiply 6.8 by x+8.

$$5x+58=6.8x+54.4$$

Subtract 6.8x from both sides.

$$5x+58-6.8x=54.4$$

Combine 5x and -6.8x to get -1.8x.

$$-1.8x+58=54.4$$

Subtract 58 from both sides.

$$-1.8x=54.4-58$$

Subtract 58 from 54.4 to get -3.6.

$$-1.8x=-3.6$$

Divide both sides by -1.8.

$$x=\frac{-3.6}{-1.8}$$

Expand \frac{-3.6}{-1.8} by multiplying both numerator and the denominator by 10.

$$x=\frac{-36}{-18}$$

Divide -36 by -18 to get 2.

$$x=2$$