Question

Solve the equation. $$\frac{4 x}{3}+3=23$$

Short answer

The solution of the equation is 'x=15'.

Step-by-step solution

Subtract 3 from both sides

Firstly, the goal is to isolate the fraction that contains the variable 'x' on one side of the equation. This could be done by subtracting '3' from both sides of the equation to get rid of the '+3' on the left side. This leaves us with the equation: \(\frac{4 x}{3}= 23 - 3\).

Simplify the right side

Then, subtract '3' from '23' in the right side of the equation, which simplifies the equation to: \(\frac{4 x}{3}= 20\).

Get rid of the fraction

To get rid of the fraction on the left side, multiply the entire equation by '3', the denominator of the fraction. This results in: \(4x= 60\).

Solve for 'x'

To get the value of 'x', divide both sides of the equation by '4', i.e., \(x= \frac{60}{4}= 15\). This gives the solution of the equation as 'x=15'.