Question

Solve the equation. $$ -\frac{3}{4} x=21 $$

Short answer

The solution to the equation is \(x = -28\).

Step-by-step solution

Identify the variable and constant

The variable in this equation is \(x\) and the constant is \(21\). \(x\) is being multiplied by \(-\frac{3}{4}\) leading to the equation \(-\frac{3}{4}x=21\).

Isolate the variable \(x\)

To isolate \(x\), you should divide both sides of the equation by \(-\frac{3}{4}\). Doing this, we get \(x = \frac{21}{-\frac{3}{4}}\). This simplifies the equation to \(x = -\frac{84}{3}\).

Simplify the result

After carrying out the division, we get \(x = -28\) thus finding the value of \(x\).