Solve 0.7(x+(785-((x-85)div2)))=1000

$$0.7(x+(785-((x-85) \div 2)))=1000$$

Solve for x

$$x = \frac{8415}{7} = 1202\frac{1}{7} \approx 1202.142857143$$

Steps for Solving Linear Equation

Divide both sides by 0.7.

$$x+785-\frac{x-85}{2}=\frac{1000}{0.7}$$

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

$$x+785-\frac{x-85}{2}=\frac{10000}{7}$$

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

$$14x+10990-7\left(x-85\right)=20000$$

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

$$14x+10990-7x+595=20000$$

Combine 14x and -7x to get 7x.

$$7x+10990+595=20000$$

Add 10990 and 595 to get 11585.

$$7x+11585=20000$$

Subtract 11585 from both sides.

$$7x=20000-11585$$

Subtract 11585 from 20000 to get 8415.

$$7x=8415$$

Divide both sides by 7.

$$x=\frac{8415}{7}$$