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

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

Solve for x

$$x=-7$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{2} by x+3.

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

Multiply \frac{1}{2} and 3 to get \frac{3}{2}.

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

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

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

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

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

Subtract 5 from both sides.

$$\frac{1}{2}x=\frac{3}{2}-5$$

Convert 5 to fraction \frac{10}{2}.

$$\frac{1}{2}x=\frac{3}{2}-\frac{10}{2}$$

Since \frac{3}{2} and \frac{10}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{2}x=\frac{3-10}{2}$$

Subtract 10 from 3 to get -7.

$$\frac{1}{2}x=-\frac{7}{2}$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$x=-\frac{7}{2}\times 2$$

Cancel out 2 and 2.

$$x=-7$$