Solve 0.3(x+(700-(xdiv2))+85)=xdiv2

$$0.3(x+(700-(x \div 2))+85)=x \div 2$$

Solve for x

$$x = \frac{4710}{7} = 672\frac{6}{7} \approx 672.857142857$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$0.6\left(x+700-\frac{x}{2}+85\right)=x$$

Combine x and -\frac{x}{2} to get \frac{1}{2}x.

$$0.6\left(\frac{1}{2}x+700+85\right)=x$$

Add 700 and 85 to get 785.

$$0.6\left(\frac{1}{2}x+785\right)=x$$

Use the distributive property to multiply 0.6 by \frac{1}{2}x+785.

$$0.6\times \frac{1}{2}x+471=x$$

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{5}\times \frac{1}{2}x+471=x$$

Multiply \frac{3}{5} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1}{5\times 2}x+471=x$$

Do the multiplications in the fraction \frac{3\times 1}{5\times 2}.

$$\frac{3}{10}x+471=x$$

Subtract x from both sides.

$$\frac{3}{10}x+471-x=0$$

Combine \frac{3}{10}x and -x to get -\frac{7}{10}x.

$$-\frac{7}{10}x+471=0$$

Subtract 471 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{7}{10}x=-471$$

Multiply both sides by -\frac{10}{7}, the reciprocal of -\frac{7}{10}.

$$x=-471\left(-\frac{10}{7}\right)$$

Express -471\left(-\frac{10}{7}\right) as a single fraction.

$$x=\frac{-471\left(-10\right)}{7}$$

Multiply -471 and -10 to get 4710.

$$x=\frac{4710}{7}$$