Solve 1/4left(a+3right)=2-a

$$\frac{ 1 }{ 4 } \left( a+3 \right) = 2-a$$

Solve for a

$$a=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{4} by a+3.

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

Multiply \frac{1}{4} and 3 to get \frac{3}{4}.

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

Add a to both sides.

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

Combine \frac{1}{4}a and a to get \frac{5}{4}a.

$$\frac{5}{4}a+\frac{3}{4}=2$$

Subtract \frac{3}{4} from both sides.

$$\frac{5}{4}a=2-\frac{3}{4}$$

Convert 2 to fraction \frac{8}{4}.

$$\frac{5}{4}a=\frac{8}{4}-\frac{3}{4}$$

Since \frac{8}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{4}a=\frac{8-3}{4}$$

Subtract 3 from 8 to get 5.

$$\frac{5}{4}a=\frac{5}{4}$$

Multiply both sides by \frac{4}{5}, the reciprocal of \frac{5}{4}.

$$a=\frac{5}{4}\times \frac{4}{5}$$

Cancel out \frac{5}{4} and its reciprocal \frac{4}{5}.

$$a=1$$