Solve 12(3+x)=18(3-x)

$$12 ( 3 + x ) = 18 ( 3 - x )$$

Solve for x

$$x=\frac{3}{5}=0.6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 12 by 3+x.

$$36+12x=18\left(3-x\right)$$

Use the distributive property to multiply 18 by 3-x.

$$36+12x=54-18x$$

Add 18x to both sides.

$$36+12x+18x=54$$

Combine 12x and 18x to get 30x.

$$36+30x=54$$

Subtract 36 from both sides.

$$30x=54-36$$

Subtract 36 from 54 to get 18.

$$30x=18$$

Divide both sides by 30.

$$x=\frac{18}{30}$$

Reduce the fraction \frac{18}{30} to lowest terms by extracting and canceling out 6.

$$x=\frac{3}{5}$$