Solve (1+1/1.5+1.2)*x=86

$$(1+ \frac{ 1 }{ 1.5 } +1.2) \times x=86$$

Solve for x

$$x=30$$

Steps for Solving Linear Equation

Expand \frac{1}{1.5} by multiplying both numerator and the denominator by 10.

$$\left(1+\frac{10}{15}+1.2\right)x=86$$

Reduce the fraction \frac{10}{15} to lowest terms by extracting and canceling out 5.

$$\left(1+\frac{2}{3}+1.2\right)x=86$$

Convert 1 to fraction \frac{3}{3}.

$$\left(\frac{3}{3}+\frac{2}{3}+1.2\right)x=86$$

Since \frac{3}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$\left(\frac{3+2}{3}+1.2\right)x=86$$

Add 3 and 2 to get 5.

$$\left(\frac{5}{3}+1.2\right)x=86$$

Convert decimal number 1.2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\left(\frac{5}{3}+\frac{6}{5}\right)x=86$$

Least common multiple of 3 and 5 is 15. Convert \frac{5}{3} and \frac{6}{5} to fractions with denominator 15.

$$\left(\frac{25}{15}+\frac{18}{15}\right)x=86$$

Since \frac{25}{15} and \frac{18}{15} have the same denominator, add them by adding their numerators.

$$\frac{25+18}{15}x=86$$

Add 25 and 18 to get 43.

$$\frac{43}{15}x=86$$

Multiply both sides by \frac{15}{43}, the reciprocal of \frac{43}{15}.

$$x=86\times \frac{15}{43}$$

Express 86\times \frac{15}{43} as a single fraction.

$$x=\frac{86\times 15}{43}$$

Multiply 86 and 15 to get 1290.

$$x=\frac{1290}{43}$$

Divide 1290 by 43 to get 30.

$$x=30$$