Solve 4-x+3/2*2/3=sqrt{4}*x

$$4 - x + \frac { 3 } { 2 } \cdot \frac { 2 } { 3 } = \sqrt { 4 } \cdot x$$

Solve for x

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

Cancel out \frac{3}{2} and its reciprocal \frac{2}{3}.

$$4-x+1=\sqrt{4}x$$

Add 4 and 1 to get 5.

$$5-x=\sqrt{4}x$$

Calculate the square root of 4 and get 2.

$$5-x=2x$$

Subtract 2x from both sides.

$$5-x-2x=0$$

Combine -x and -2x to get -3x.

$$5-3x=0$$

Subtract 5 from both sides. Anything subtracted from zero gives its negation.

$$-3x=-5$$

Divide both sides by -3.

$$x=\frac{-5}{-3}$$

Fraction \frac{-5}{-3} can be simplified to \frac{5}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{5}{3}$$