Solve 1.5(20-x)+1.2(30+1.5x)=69

$$1.5(20-x)+1.2(30+1.5x)=69$$

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Use the distributive property to multiply 1.5 by 20-x.

$$30-1.5x+1.2\left(30+1.5x\right)=69$$

Use the distributive property to multiply 1.2 by 30+1.5x.

$$30-1.5x+36+1.8x=69$$

Add 30 and 36 to get 66.

$$66-1.5x+1.8x=69$$

Combine -1.5x and 1.8x to get 0.3x.

$$66+0.3x=69$$

Subtract 66 from both sides.

$$0.3x=69-66$$

Subtract 66 from 69 to get 3.

$$0.3x=3$$

Divide both sides by 0.3.

$$x=\frac{3}{0.3}$$

Expand \frac{3}{0.3} by multiplying both numerator and the denominator by 10.

$$x=\frac{30}{3}$$

Divide 30 by 3 to get 10.

$$x=10$$