Math  /  Algebra

Questionquations below? 5x2=185 x-2=18

Studdy Solution

STEP 1

What is this asking? We need to find the value of xx that makes the equation 5x2=185x - 2 = 18 true. Watch out! Don't forget to perform the same operation on *both* sides of the equation to keep it balanced!

STEP 2

1. Isolate the term with xx.
2. Solve for xx.

STEP 3

We want to get the xx term by itself.
The left side of the equation has 5x25x - 2, and we want to get rid of that 2-2.
The opposite of subtracting 22 is *adding* 22.
If we add 22 to both sides, the equation stays balanced!
5x2+2=18+25x - 2 + 2 = 18 + 25x=205x = \textbf{20}

STEP 4

Woohoo! We've isolated the term with xx.

STEP 5

Now we have 55 multiplied by xx.
To get xx by itself, we need to do the *opposite* operation, which is division!
We'll divide *both* sides by 55 to keep things balanced.
5x5=205 \frac{5x}{5} = \frac{20}{5}

STEP 6

Dividing 5x5x by 55 gives us 1x1 \cdot x, or just xx.
And 2020 divided by 55 is 4\textbf{4}.
x=4 x = \textbf{4}

STEP 7

The value of xx that satisfies the equation 5x2=185x - 2 = 18 is x=4x = 4.

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