Solve 3div7+3div7(x+xdiv2)=3div7x+3div7x

$$3 \div 7+3 \div 7(x+x \div 2)=3 \div 7x+3 \div 7x$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$6+6\left(x+\frac{x}{2}\right)=6x+6x$$

Combine x and \frac{x}{2} to get \frac{3}{2}x.

$$6+6\times \frac{3}{2}x=6x+6x$$

Express 6\times \frac{3}{2} as a single fraction.

$$6+\frac{6\times 3}{2}x=6x+6x$$

Multiply 6 and 3 to get 18.

$$6+\frac{18}{2}x=6x+6x$$

Divide 18 by 2 to get 9.

$$6+9x=6x+6x$$

Combine 6x and 6x to get 12x.

$$6+9x=12x$$

Subtract 12x from both sides.

$$6+9x-12x=0$$

Combine 9x and -12x to get -3x.

$$6-3x=0$$

Subtract 6 from both sides. Anything subtracted from zero gives its negation.

$$-3x=-6$$

Divide both sides by -3.

$$x=\frac{-6}{-3}$$

Divide -6 by -3 to get 2.

$$x=2$$