Question 211·Easy·Algebra

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If $4x + 6 = 18$ , what is the value of $x$ ?

For one-variable linear equations like $4x + 6 = 18$ , work systematically: first isolate the term with the variable by undoing any addition or subtraction, then solve for the variable by undoing multiplication or division. Always keep the equation balanced by performing the same operation on both sides, and quickly check your answer by substituting it back into the original equation to confirm both sides are equal.

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Undo the addition first

Look at $4x + 6 = 18$ . What operation will undo the $+6$ so that only the $4x$ term is left on one side?

Use inverse operations step by step

After you remove the 6 from the left side, you will have an equation of the form $4x = \text{(number)}$ . What operation will undo multiplying by 4?

Check your solution

Once you find a value for $x$ , substitute it back into $4x + 6$ and make sure it equals 18.

Desmos Guide

Use Desmos to compute the value of x

In a Desmos expression line, type (18 - 6) / 4 and look at the numerical result; this is the value of $x$ that satisfies $4x + 6 = 18$ .

Step-by-step Explanation

Write down the equation and isolate the term with x

Start with the equation:

4x + 6 = 18

To isolate the term with $x$ , undo the $+6$ by subtracting 6 from both sides:

4x + 6 - 6 = 18 - 6

which simplifies to:

4x = 12

Solve for x by dividing

Now you have $4x = 12$ . To solve for $x$ , divide both sides by 4 (the coefficient of $x$ ):

x = \dfrac{12}{4}

Simplify the fraction to find the value of $x$ .

State the final value of x

Simplifying $\dfrac{12}{4}$ gives $3$ , so:

x = 3

Therefore, the correct answer is 3.

Question 211·Easy·Algebra

Strategy

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Desmos Guide

Step-by-step Explanation

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Strategy

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Desmos Guide

Step-by-step Explanation