Solve 2/3(x+3)=1/2x+4

$$\frac { 2 } { 3 } ( x + 3 ) = \frac { 1 } { 2 } x + 4$$

Solve for x

$$x=12$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{2}{3} by x+3.

$$\frac{2}{3}x+\frac{2}{3}\times 3=\frac{1}{2}x+4$$

Cancel out 3 and 3.

$$\frac{2}{3}x+2=\frac{1}{2}x+4$$

Subtract \frac{1}{2}x from both sides.

$$\frac{2}{3}x+2-\frac{1}{2}x=4$$

Combine \frac{2}{3}x and -\frac{1}{2}x to get \frac{1}{6}x.

$$\frac{1}{6}x+2=4$$

Subtract 2 from both sides.

$$\frac{1}{6}x=4-2$$

Subtract 2 from 4 to get 2.

$$\frac{1}{6}x=2$$

Multiply both sides by 6, the reciprocal of \frac{1}{6}.

$$x=2\times 6$$

Multiply 2 and 6 to get 12.

$$x=12$$