Question

Solve the equation. $$12(2-x)=6$$

Short answer

The solution to this equation is \(x = 1.5\)

Step-by-step solution

Distribute Inside the Parentheses

First, distribute the 12 inside the parentheses to obtain a simplified equation: \(12 * 2 - 12 * x = 6\), which simplifies to \(24 - 12x = 6\)

Isolate the Term With the Variable

Next, isolate the term with the variable. To do this, subtract 24 from both sides of the equation to get: \(-12x = 6 - 24\) which simplifies to \(-12x = -18\)

Solve For the Variable

Finally, to solve for \(x\), divide both sides of the equation by -12. Thus, \(x = -18 / -12\), which simplifies to \(x = 1.5\)