Answer: x = 25
Step-by-step explanation: To solve for <em>x</em> in this equation we must first undo what's being done and we must do the same thing to both sides. In addition, you will be using the reverse order of operations.
The first thing that I am going to undo is what I am adding to the variable. So to undo the +50, I will subtract 50 from both sides of the equation to keep the equation balanced.
The 4x remains on the left side, the 50 - 50 cancels out so we're just left with 4x on the left side of the equation. On the right side of the equation, 150 - 50 is 100.
So rewriting our equation, we have <em>4x = 100</em>.
To undo our multiplication we will divide both sides by 4.
4x divided by 4 just gives us the <em>x</em> leftover and 100 divided by 4 is 25.
So we have <em>x = 25</em> which is the solution to our equation.
If we want to check to make sure our answer is correct, we replace <em>x</em> in our original equation with 25.
So we have <em>4(</em><em>25</em><em>) + 50 = 150</em>.
Multiplying on the left we get 100 + 50 = 150 or 150 = 150.
Since this is a true statement, we know our answer is correct.
