Solve 4x+4/2(13+2)=3/2

$$\frac { 4 x + 4 } { 2 ( 13 + 2 ) } = \frac { 3 } { 2 }$$

Solve for x

$$x = \frac{41}{4} = 10\frac{1}{4} = 10.25$$

Steps for Solving Linear Equation

Add 13 and 2 to get 15.

$$\frac{4x+4}{2\times 15}=\frac{3}{2}$$

Multiply 2 and 15 to get 30.

$$\frac{4x+4}{30}=\frac{3}{2}$$

Divide each term of 4x+4 by 30 to get \frac{2}{15}x+\frac{2}{15}.

$$\frac{2}{15}x+\frac{2}{15}=\frac{3}{2}$$

Subtract \frac{2}{15} from both sides.

$$\frac{2}{15}x=\frac{3}{2}-\frac{2}{15}$$

Least common multiple of 2 and 15 is 30. Convert \frac{3}{2} and \frac{2}{15} to fractions with denominator 30.

$$\frac{2}{15}x=\frac{45}{30}-\frac{4}{30}$$

Since \frac{45}{30} and \frac{4}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{15}x=\frac{45-4}{30}$$

Subtract 4 from 45 to get 41.

$$\frac{2}{15}x=\frac{41}{30}$$

Multiply both sides by \frac{15}{2}, the reciprocal of \frac{2}{15}.

$$x=\frac{41}{30}\times \frac{15}{2}$$

Multiply \frac{41}{30} times \frac{15}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{41\times 15}{30\times 2}$$

Do the multiplications in the fraction \frac{41\times 15}{30\times 2}.

$$x=\frac{615}{60}$$

Reduce the fraction \frac{615}{60} to lowest terms by extracting and canceling out 15.

$$x=\frac{41}{4}$$