Solve 3*(1-x/4)=5/2

$$3 \cdot ( 1 - \frac { x } { 4 } ) = \frac { 5 } { 2 }$$

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

Divide both sides by 3.

$$1-\frac{x}{4}=\frac{\frac{5}{2}}{3}$$

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

$$1-\frac{x}{4}=\frac{5}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$1-\frac{x}{4}=\frac{5}{6}$$

Multiply both sides of the equation by 12, the least common multiple of 4,6.

$$12-3x=10$$

Subtract 12 from both sides.

$$-3x=10-12$$

Subtract 12 from 10 to get -2.

$$-3x=-2$$

Divide both sides by -3.

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

Fraction \frac{-2}{-3} can be simplified to \frac{2}{3} by removing the negative sign from both the numerator and the denominator.

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