Solve x+xdiv2+4+xdiv4+6+xdiv8+7=512

$$x+x \div 2+4+x \div 4+6+x \div 8+7=512$$

Solve for x

$$x=264$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 2,4,8.

$$8x+4x+32+2x+48+x+56=4096$$

Combine 8x and 4x to get 12x.

$$12x+32+2x+48+x+56=4096$$

Combine 12x and 2x to get 14x.

$$14x+32+48+x+56=4096$$

Add 32 and 48 to get 80.

$$14x+80+x+56=4096$$

Combine 14x and x to get 15x.

$$15x+80+56=4096$$

Add 80 and 56 to get 136.

$$15x+136=4096$$

Subtract 136 from both sides.

$$15x=4096-136$$

Subtract 136 from 4096 to get 3960.

$$15x=3960$$

Divide both sides by 15.

$$x=\frac{3960}{15}$$

Divide 3960 by 15 to get 264.

$$x=264$$