Solve 4(3+2(x-2))=9

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

Solve for x

$$x = \frac{13}{8} = 1\frac{5}{8} = 1.625$$

Steps for Solving Linear Equation

Divide both sides by 4.

$$3+2\left(x-2\right)=\frac{9}{4}$$

Use the distributive property to multiply 2 by x-2.

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

Subtract 4 from 3 to get -1.

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

Add 1 to both sides.

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

Convert 1 to fraction \frac{4}{4}.

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

Since \frac{9}{4} and \frac{4}{4} have the same denominator, add them by adding their numerators.

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

Add 9 and 4 to get 13.

$$2x=\frac{13}{4}$$

Divide both sides by 2.

$$x=\frac{\frac{13}{4}}{2}$$

Express \frac{\frac{13}{4}}{2} as a single fraction.

$$x=\frac{13}{4\times 2}$$

Multiply 4 and 2 to get 8.

$$x=\frac{13}{8}$$