Solve 12xdiv5^2*15+44=74

$$12x \div { 5 }^{ 2 } \times 15+44=74$$

Solve for x

$$x = \frac{25}{6} = 4\frac{1}{6} \approx 4.166666667$$

Steps for Solving Linear Equation

Calculate 5 to the power of 2 and get 25.

$$\frac{12x}{25}\times 15+44=74$$

Express \frac{12x}{25}\times 15 as a single fraction.

$$\frac{12x\times 15}{25}+44=74$$

Multiply 12 and 15 to get 180.

$$\frac{180x}{25}+44=74$$

Divide 180x by 25 to get \frac{36}{5}x.

$$\frac{36}{5}x+44=74$$

Subtract 44 from both sides.

$$\frac{36}{5}x=74-44$$

Subtract 44 from 74 to get 30.

$$\frac{36}{5}x=30$$

Multiply both sides by \frac{5}{36}, the reciprocal of \frac{36}{5}.

$$x=30\times \frac{5}{36}$$

Express 30\times \frac{5}{36} as a single fraction.

$$x=\frac{30\times 5}{36}$$

Multiply 30 and 5 to get 150.

$$x=\frac{150}{36}$$

Reduce the fraction \frac{150}{36} to lowest terms by extracting and canceling out 6.

$$x=\frac{25}{6}$$