Solve [30*1.2+(x-30)2]divx=1.5

$$[ 30 \times 1.2 + ( x - 30 ) 2 ] \div x = 1.5$$

Solve for x

$$x=48$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$30\times 1.2+\left(x-30\right)\times 2=1.5x$$

Multiply 30 and 1.2 to get 36.

$$36+\left(x-30\right)\times 2=1.5x$$

Use the distributive property to multiply x-30 by 2.

$$36+2x-60=1.5x$$

Subtract 60 from 36 to get -24.

$$-24+2x=1.5x$$

Subtract 1.5x from both sides.

$$-24+2x-1.5x=0$$

Combine 2x and -1.5x to get 0.5x.

$$-24+0.5x=0$$

Add 24 to both sides. Anything plus zero gives itself.

$$0.5x=24$$

Divide both sides by 0.5.

$$x=\frac{24}{0.5}$$

Expand \frac{24}{0.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{240}{5}$$

Divide 240 by 5 to get 48.

$$x=48$$