Solve 3/2+x=7/8+4/5

$$\frac { 3 } { 2 } + x = \frac { 7 } { 8 } + \frac { 4 } { 5 }$$

Solve for x

$$x=\frac{7}{40}=0.175$$

Steps for Solving Linear Equation

Least common multiple of 8 and 5 is 40. Convert \frac{7}{8} and \frac{4}{5} to fractions with denominator 40.

$$\frac{3}{2}+x=\frac{35}{40}+\frac{32}{40}$$

Since \frac{35}{40} and \frac{32}{40} have the same denominator, add them by adding their numerators.

$$\frac{3}{2}+x=\frac{35+32}{40}$$

Add 35 and 32 to get 67.

$$\frac{3}{2}+x=\frac{67}{40}$$

Subtract \frac{3}{2} from both sides.

$$x=\frac{67}{40}-\frac{3}{2}$$

Least common multiple of 40 and 2 is 40. Convert \frac{67}{40} and \frac{3}{2} to fractions with denominator 40.

$$x=\frac{67}{40}-\frac{60}{40}$$

Since \frac{67}{40} and \frac{60}{40} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{67-60}{40}$$

Subtract 60 from 67 to get 7.

$$x=\frac{7}{40}$$