Solve (1/12+1/2)*5+x/20=1

$$( \frac { 1 } { 12 } + \frac { 1 } { 2 } ) \times 5 + \frac { x } { 20 } = 1$$

Solve for x

$$x = -\frac{115}{3} = -38\frac{1}{3} \approx -38.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 12,2,20.

$$60\left(\frac{1}{12}+\frac{1}{2}\right)\times 5+3x=60$$

Least common multiple of 12 and 2 is 12. Convert \frac{1}{12} and \frac{1}{2} to fractions with denominator 12.

$$60\left(\frac{1}{12}+\frac{6}{12}\right)\times 5+3x=60$$

Since \frac{1}{12} and \frac{6}{12} have the same denominator, add them by adding their numerators.

$$60\times \frac{1+6}{12}\times 5+3x=60$$

Add 1 and 6 to get 7.

$$60\times \frac{7}{12}\times 5+3x=60$$

Express 60\times \frac{7}{12} as a single fraction.

$$\frac{60\times 7}{12}\times 5+3x=60$$

Multiply 60 and 7 to get 420.

$$\frac{420}{12}\times 5+3x=60$$

Divide 420 by 12 to get 35.

$$35\times 5+3x=60$$

Multiply 35 and 5 to get 175.

$$175+3x=60$$

Subtract 175 from both sides.

$$3x=60-175$$

Subtract 175 from 60 to get -115.

$$3x=-115$$

Divide both sides by 3.

$$x=\frac{-115}{3}$$

Fraction \frac{-115}{3} can be rewritten as -\frac{115}{3} by extracting the negative sign.

$$x=-\frac{115}{3}$$