Question

solve the equation. Show how to check your solution. $$4 x+3=11$$

Short answer

The solution to the equation is x = 2

Step-by-step solution

Transfer the constant term

The first step is to get rid of the '+3' on the left side. To that end, subtract 3 from both sides: \(4x + 3 - 3 = 11 - 3\)This simplifies to: \(4x = 8\)

Solve for x

Then divide both sides of the equation by 4 to solve for x: \(4x/4 = 8/4\)Simplified, this gives: \(x = 2\)

Validate the Solution

Substitute the found value for x into the original equation to verify if it's indeed the solution:\(4*2 + 3 = 11\)This simplifies to 11=11, confirming the solution is correct