Solve x/2+3-x/12=x/6-5/43

$$\frac { x } { 2 } + 3 - \frac { x } { 12 } = \frac { x } { 6 } - \frac { 5 } { 43 }$$

Solve for x

$$x = -\frac{536}{43} = -12\frac{20}{43} \approx -12.465116279$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 516, the least common multiple of 2,12,6,43.

$$258x+1548-43x=86x-60$$

Combine 258x and -43x to get 215x.

$$215x+1548=86x-60$$

Subtract 86x from both sides.

$$215x+1548-86x=-60$$

Combine 215x and -86x to get 129x.

$$129x+1548=-60$$

Subtract 1548 from both sides.

$$129x=-60-1548$$

Subtract 1548 from -60 to get -1608.

$$129x=-1608$$

Divide both sides by 129.

$$x=\frac{-1608}{129}$$

Reduce the fraction \frac{-1608}{129} to lowest terms by extracting and canceling out 3.

$$x=-\frac{536}{43}$$