Solve 4x+2(7/6)=-5

$$4 x + 2 ( \frac { 7 } { 6 } ) = - 5$$

Solve for x

$$x = -\frac{11}{6} = -1\frac{5}{6} \approx -1.833333333$$

Steps for Solving Linear Equation

Express 2\times \frac{7}{6} as a single fraction.

$$4x+\frac{2\times 7}{6}=-5$$

Multiply 2 and 7 to get 14.

$$4x+\frac{14}{6}=-5$$

Reduce the fraction \frac{14}{6} to lowest terms by extracting and canceling out 2.

$$4x+\frac{7}{3}=-5$$

Subtract \frac{7}{3} from both sides.

$$4x=-5-\frac{7}{3}$$

Convert -5 to fraction -\frac{15}{3}.

$$4x=-\frac{15}{3}-\frac{7}{3}$$

Since -\frac{15}{3} and \frac{7}{3} have the same denominator, subtract them by subtracting their numerators.

$$4x=\frac{-15-7}{3}$$

Subtract 7 from -15 to get -22.

$$4x=-\frac{22}{3}$$

Divide both sides by 4.

$$x=\frac{-\frac{22}{3}}{4}$$

Express \frac{-\frac{22}{3}}{4} as a single fraction.

$$x=\frac{-22}{3\times 4}$$

Multiply 3 and 4 to get 12.

$$x=\frac{-22}{12}$$

Reduce the fraction \frac{-22}{12} to lowest terms by extracting and canceling out 2.

$$x=-\frac{11}{6}$$