Question

Solve the equation. Round the result to the nearest hundredth. $$ 4.65 x-4.79=13.57-6.84 x $$

Short answer

After carrying out the division and rounding off to the nearest hundredth, the approximate value of \(x\) should be 1.60.

Step-by-step solution

Combine like terms

First, combine the terms that involve \(x\) and get them to one side of the equation by adding \(6.84x\) to both sides of the equation: \(4.65x + 6.84x = 13.57 + 4.79\).

Simplify

Upon simplifying, we get: \(11.49x = 18.36\).

Solve for \(x\)

Solve the equation for \(x\) by dividing both sides by 11.49: \(x = 18.36 / 11.49\).

Round to the nearest hundredth

Upon dividing, you will obtain the answer for \(x\). Make sure to round off the answer to the nearest hundredth.