Solve 2*x+4/9=1/6

$$\frac { 2 \cdot x + 4 } { 9 } = \frac { 1 } { 6 }$$

Solve for x

$$x = -\frac{5}{4} = -1\frac{1}{4} = -1.25$$

Steps for Solving Linear Equation

Multiply both sides by 9.

$$2x+4=\frac{1}{6}\times 9$$

Multiply \frac{1}{6} and 9 to get \frac{9}{6}.

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

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

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

Subtract 4 from both sides.

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

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

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

Since \frac{3}{2} and \frac{8}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 8 from 3 to get -5.

$$2x=-\frac{5}{2}$$

Divide both sides by 2.

$$x=\frac{-\frac{5}{2}}{2}$$

Express \frac{-\frac{5}{2}}{2} as a single fraction.

$$x=\frac{-5}{2\times 2}$$

Multiply 2 and 2 to get 4.

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

Fraction \frac{-5}{4} can be rewritten as -\frac{5}{4} by extracting the negative sign.

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