Solve 31/2-1/3*x=1

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

Solve for x

$$x = \frac{15}{2} = 7\frac{1}{2} = 7.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3\left(3\times 2+1\right)-2x=6$$

Multiply 3 and 2 to get 6.

$$3\left(6+1\right)-2x=6$$

Add 6 and 1 to get 7.

$$3\times 7-2x=6$$

Multiply 3 and 7 to get 21.

$$21-2x=6$$

Subtract 21 from both sides.

$$-2x=6-21$$

Subtract 21 from 6 to get -15.

$$-2x=-15$$

Divide both sides by -2.

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

Fraction \frac{-15}{-2} can be simplified to \frac{15}{2} by removing the negative sign from both the numerator and the denominator.

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