Solve 2(3x-2)-2/4=6/3

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

Solve for x

$$x = \frac{13}{12} = 1\frac{1}{12} \approx 1.083333333$$

Steps for Solving Linear Equation

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

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

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

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

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

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

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

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

Subtract 1 from -8 to get -9.

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

Divide 6 by 3 to get 2.

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

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

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

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

$$6x=\frac{4}{2}+\frac{9}{2}$$

Since \frac{4}{2} and \frac{9}{2} have the same denominator, add them by adding their numerators.

$$6x=\frac{4+9}{2}$$

Add 4 and 9 to get 13.

$$6x=\frac{13}{2}$$

Divide both sides by 6.

$$x=\frac{\frac{13}{2}}{6}$$

Express \frac{\frac{13}{2}}{6} as a single fraction.

$$x=\frac{13}{2\times 6}$$

Multiply 2 and 6 to get 12.

$$x=\frac{13}{12}$$