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

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

Solve for x

$$x = \frac{37}{36} = 1\frac{1}{36} \approx 1.027777778$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 3x-2.

$$6x-4-\frac{2}{4}=\frac{5}{3}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$6x-4-\frac{1}{2}=\frac{5}{3}$$

Convert -4 to fraction -\frac{8}{2}.

$$6x-\frac{8}{2}-\frac{1}{2}=\frac{5}{3}$$

Since -\frac{8}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$6x+\frac{-8-1}{2}=\frac{5}{3}$$

Subtract 1 from -8 to get -9.

$$6x-\frac{9}{2}=\frac{5}{3}$$

Add \frac{9}{2} to both sides.

$$6x=\frac{5}{3}+\frac{9}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{5}{3} and \frac{9}{2} to fractions with denominator 6.

$$6x=\frac{10}{6}+\frac{27}{6}$$

Since \frac{10}{6} and \frac{27}{6} have the same denominator, add them by adding their numerators.

$$6x=\frac{10+27}{6}$$

Add 10 and 27 to get 37.

$$6x=\frac{37}{6}$$

Divide both sides by 6.

$$x=\frac{\frac{37}{6}}{6}$$

Express \frac{\frac{37}{6}}{6} as a single fraction.

$$x=\frac{37}{6\times 6}$$

Multiply 6 and 6 to get 36.

$$x=\frac{37}{36}$$