Solve 0.7(x+((x-85)div2))=1000

$$0.7(x+((x-85) \div 2))=1000$$

Solve for x

$$x = \frac{6865}{7} = 980\frac{5}{7} \approx 980.714285714$$

Steps for Solving Linear Equation

Divide both sides by 0.7.

$$x+\frac{x-85}{2}=\frac{1000}{0.7}$$

Expand \frac{1000}{0.7} by multiplying both numerator and the denominator by 10.

$$x+\frac{x-85}{2}=\frac{10000}{7}$$

Multiply both sides of the equation by 14, the least common multiple of 2,7.

$$14x+7\left(x-85\right)=20000$$

Use the distributive property to multiply 7 by x-85.

$$14x+7x-595=20000$$

Combine 14x and 7x to get 21x.

$$21x-595=20000$$

Add 595 to both sides.

$$21x=20000+595$$

Add 20000 and 595 to get 20595.

$$21x=20595$$

Divide both sides by 21.

$$x=\frac{20595}{21}$$

Reduce the fraction \frac{20595}{21} to lowest terms by extracting and canceling out 3.

$$x=\frac{6865}{7}$$