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If 8x - (6x + 5) = 5, solve for x.

Question:

If 8x - (6x + 5) = 5, solve for x.

Solving for Variables:

When we are given an equation to use when solving for the value of our variable, we must remember to observe the order of operations, which says that we address anything in parentheses first. However, in our equation, we only have addition and subtraction. This means that we can simply erase the parentheses without affecting the value of the equation.

Answer and Explanation: 1

If {eq}8x - (6x + 5) = 5 {/eq}, then x equals 0.

Finding our answer begins by simplifying the equation. As all math functions on the left side of the equation are addition and subtraction, we can remove the parentheses. This gives us the following equation.

  • {eq}8x - 6x + 5 = 5 {/eq}

Now, we can perform the math of the like terms, meaning the two terms with our variable.

  • {eq}8x - 6x + 5 = 5 {/eq}
  • {eq}2x + 5 = 5 {/eq}

Next, we need to subtract 5 from both sides of the equation to isolate the term with the variable.

  • {eq}2x + 5 - (5) = 5 - (5) {/eq}
  • {eq}2x = 0 {/eq}

Finally, we divide both sides of the equation by 2 to get our answer.

  • {eq}2x \div 2 = 0 \div 2 {/eq}
  • {eq}x = 0 {/eq}

Learn more about this topic:

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What is a Variable in Algebra?

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Chapter 6 / Lesson 1
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Did you ever encounter something like a + b = c and wonder how all these letters snuck into a math problem? In this lesson, we'll learn about variables, as well as other parts of equations, constants and coefficients.


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