Solve 3(5/2)+x=6

$$3( \frac{ 5 }{ 2 } )+x=6$$

Solve for x

$$x = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Express 3\times \frac{5}{2} as a single fraction.

$$\frac{3\times 5}{2}+x=6$$

Multiply 3 and 5 to get 15.

$$\frac{15}{2}+x=6$$

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

$$x=6-\frac{15}{2}$$

Convert 6 to fraction \frac{12}{2}.

$$x=\frac{12}{2}-\frac{15}{2}$$

Since \frac{12}{2} and \frac{15}{2} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{12-15}{2}$$

Subtract 15 from 12 to get -3.

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