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Math Lesson 1, i-Ready
Equations with variables on bo
khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/variables-on-both-sides/e/linear_equations_3
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COURSE: 8TH GRADE > UNIT 2
Lesson 1: Equations with variables on both sides
Intro to equations with variables on…
Equations with variables on both si…
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Equation with variables on both sid…
Equations with variables on both si…
Equations with variables on both sides
Solve for .
8:53
Intro to equations with variables on both sides
Equations with variables on both sides:
khanacademy.org/math/cc-eighth-grade-math/.../equations-3
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Ask by Watson Wells. in the United States
Jan 23,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solution

Sure, let’s solve the equation step by step.
Given Equation:
Step 1: Get all terms containing on one side of the equation.
Subtract from both sides to move the -terms to the left side:
Step 2: Move the constant term to the other side.
Add 15 to both sides to isolate the term with :
Step 3: Solve for .
Divide both sides by 2:
Answer:

Verification:
Let’s plug back into the original equation to ensure it’s correct.
Both sides are equal, confirming that is the correct solution.

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Beyond the Answer

Did you know that algebra has ancient roots? The word “algebra” comes from the Arabic term “al-jabr,” which means “reunion of broken parts.” Persian mathematician Muhammad ibn Musa al-Khwarizmi, often regarded as the father of algebra, wrote the groundbreaking work “Al-Kitab al-Mukhtasar fi Hisab al-Jabr wal-Muqabala” in the 9th century! Talk about a cool history lesson—math has been uniting variables for centuries!
Speaking of variables, solving equations with variables on both sides can be tricky! A common mistake is forgetting to perform the same operation on both sides of the equation. For example, if you’re solving , always remember to first isolate the variable by moving terms from one side to the other! Adding or subtracting terms carefully will save you from errors and help you find the value of in no time!

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