Solve 1/6x+11/3x=-85/12

$$\frac { 1 } { 6 } x + 1 \frac { 1 } { 3 } x = - 8 \frac { 5 } { 12 }$$

Solve for x

$$x = -\frac{101}{18} = -5\frac{11}{18} \approx -5.611111111$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 6,3,12.

$$2x+4\left(1\times 3+1\right)x=-\left(8\times 12+5\right)$$

Multiply 1 and 3 to get 3.

$$2x+4\left(3+1\right)x=-\left(8\times 12+5\right)$$

Add 3 and 1 to get 4.

$$2x+4\times 4x=-\left(8\times 12+5\right)$$

Multiply 4 and 4 to get 16.

$$2x+16x=-\left(8\times 12+5\right)$$

Combine 2x and 16x to get 18x.

$$18x=-\left(8\times 12+5\right)$$

Multiply 8 and 12 to get 96.

$$18x=-\left(96+5\right)$$

Add 96 and 5 to get 101.

$$18x=-101$$

Divide both sides by 18.

$$x=\frac{-101}{18}$$

Fraction \frac{-101}{18} can be rewritten as -\frac{101}{18} by extracting the negative sign.

$$x=-\frac{101}{18}$$