Question

Solve the equation. $$ 18=4-\frac{2 x}{5} $$

Short answer

The solution to the equation is \(x = -35\).

Step-by-step solution

Rearrange the Equation

Rearrange the equation to isolate the terms with x on one side. Subtract 4 from both sides of the equation to get: \( 18 - 4 = - \frac{2x}{5}\). Simplifying this gives: \(14 = -\frac{2x}{5}\).

Simplify the Equation

We now need to isolate x. First, we can multiply both sides of the equation by -1 to get \(-14 = \frac{2x}{5}\). Next, clear the fraction by multiplying both sides of the equation by 5 to get \(-14 \times 5 = 2x\). Which simplifies to \(-70 = 2x\).

Solve for x

Finally, solve for x by dividing both sides of the equation by 2. This gives \(x = -70/2 = -35\) as the solution.