Solve 1/2(4d+2)=2/3

$$\frac { 1 } { 2 } ( 4 d + 2 ) = \frac { 2 } { 3 }$$

Solve for d

$$d=-\frac{1}{6}\approx -0.166666667$$

Steps for Solving Linear Equation

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$4d+2=\frac{2}{3}\times 2$$

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

$$4d+2=\frac{2\times 2}{3}$$

Multiply 2 and 2 to get 4.

$$4d+2=\frac{4}{3}$$

Subtract 2 from both sides.

$$4d=\frac{4}{3}-2$$

Convert 2 to fraction \frac{6}{3}.

$$4d=\frac{4}{3}-\frac{6}{3}$$

Since \frac{4}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$4d=\frac{4-6}{3}$$

Subtract 6 from 4 to get -2.

$$4d=-\frac{2}{3}$$

Divide both sides by 4.

$$d=\frac{-\frac{2}{3}}{4}$$

Express \frac{-\frac{2}{3}}{4} as a single fraction.

$$d=\frac{-2}{3\times 4}$$

Multiply 3 and 4 to get 12.

$$d=\frac{-2}{12}$$

Reduce the fraction \frac{-2}{12} to lowest terms by extracting and canceling out 2.

$$d=-\frac{1}{6}$$