Solve 2(3x+4)=9

$$2(3x+4)=9$$

Solve for x

$$x=\frac{1}{6}\approx 0.166666667$$

Steps for Solving Linear Equation

Divide both sides by 2.

$$3x+4=\frac{9}{2}$$

Subtract 4 from both sides.

$$3x=\frac{9}{2}-4$$

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

$$3x=\frac{9}{2}-\frac{8}{2}$$

Since \frac{9}{2} and \frac{8}{2} have the same denominator, subtract them by subtracting their numerators.

$$3x=\frac{9-8}{2}$$

Subtract 8 from 9 to get 1.

$$3x=\frac{1}{2}$$

Divide both sides by 3.

$$x=\frac{\frac{1}{2}}{3}$$

Express \frac{\frac{1}{2}}{3} as a single fraction.

$$x=\frac{1}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$x=\frac{1}{6}$$