Solve 2(x+1/2)=3(0,5x+2)

$$2 ( x + \frac { 1 } { 2 } ) = 3 ( 0,5 x + 2 )$$

Solve for x

$$x=10$$

Steps for Solving Linear Equation

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

$$2x+2\times \frac{1}{2}=3\left(0,5x+2\right)$$

Cancel out 2 and 2.

$$2x+1=3\left(0,5x+2\right)$$

Use the distributive property to multiply 3 by 0,5x+2.

$$2x+1=1,5x+6$$

Subtract 1,5x from both sides.

$$2x+1-1,5x=6$$

Combine 2x and -1,5x to get 0,5x.

$$0,5x+1=6$$

Subtract 1 from both sides.

$$0,5x=6-1$$

Subtract 1 from 6 to get 5.

$$0,5x=5$$

Divide both sides by 0,5.

$$x=\frac{5}{0,5}$$

Expand \frac{5}{0,5} by multiplying both numerator and the denominator by 10.

$$x=\frac{50}{5}$$

Divide 50 by 5 to get 10.

$$x=10$$