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

$$E = - \frac { 2 } { 3 } \times ( \frac { 1 } { 4 } - x ) - ( \frac { 1 } { 4 } - \frac { 1 } { 3 } x )$$

Solve for E

$$E = -\frac{5}{12} = -0.4166666666666667$$

Solution Steps

Use the distributive property to multiply -\frac{2}{3} by \frac{1}{4}-x.

$$E=-\frac{1}{6}+\frac{2}{3}x-\left(\frac{1}{4}-\frac{1}{3}x\right)$$

To find the opposite of \frac{1}{4}-\frac{1}{3}x, find the opposite of each term.

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

Subtract \frac{1}{4} from -\frac{1}{6} to get -\frac{5}{12}.

$$E=-\frac{5}{12}+\frac{2}{3}x+\frac{1}{3}x$$

Combine \frac{2}{3}x and \frac{1}{3}x to get x.

$$E=-\frac{5}{12}+x$$

Solve for x

$$x = \frac{5}{12} = 0.4166666666666667$$

Solution Steps

Use the distributive property to multiply -\frac{2}{3} by \frac{1}{4}-x.

$$E=-\frac{1}{6}+\frac{2}{3}x-\left(\frac{1}{4}-\frac{1}{3}x\right)$$

To find the opposite of \frac{1}{4}-\frac{1}{3}x, find the opposite of each term.

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

Subtract \frac{1}{4} from -\frac{1}{6} to get -\frac{5}{12}.

$$E=-\frac{5}{12}+\frac{2}{3}x+\frac{1}{3}x$$

Combine \frac{2}{3}x and \frac{1}{3}x to get x.

$$E=-\frac{5}{12}+x$$

Swap sides so that all variable terms are on the left hand side.

$$-\frac{5}{12}+x=E$$

Add \frac{5}{12} to both sides.

$$x=E+\frac{5}{12}$$