Combined: $ x + (4x + 6) = 102 $. - ECD Germany
Title: Solve the Equation: Combined x + (4x + 6) = 102 β Step-by-Step Guide
Title: Solve the Equation: Combined x + (4x + 6) = 102 β Step-by-Step Guide
Meta Description: Learn how to solve the algebra equation Combined x + (4x + 6) = 102 easily. Step-by-step solution with clear explanations for students and math learners.
Understanding the Context
Combined Equation: Solve for $ x $ in $ x + (4x + 6) = 102 $
Understanding how to combine and solve algebraic equations is essential for solving real-world problems. One common equation students frequently encounter is:
$$
x + (4x + 6) = 102
$$
In this article, weβll break down how to correctly interpret, simplify, and solve this equation step-by-step β also explaining key concepts to strengthen your algebra skills.
Image Gallery
Key Insights
Step 1: Combine Like Terms
The expression $ x + (4x + 6) $ contains two parts: a linear term $ x $ and a binomial $ 4x + 6 $. To simplify, combine like terms β that is, the $ x $ terms with other $ x $ terms.
$$
x + 4x + 6 = 102
$$
$$
(1x + 4x) + 6 = 102
$$
π Related Articles You Might Like:
π° This Starβs Hidden Past With Broderick Harvey Jr. Will Change Everything You Know! π° Broderick Harvey Jr. Uncovers the TruthβYouβll Never Believe What Happened Next! π° What Broderick Harvey Jr. Revealed About His Familyβs Secret Shocked Experts! π° You Wont Believe How Cortrust Credit Card Slashes Your Credit Card Carbs 7349014 π° Star Knightess Aura 7671978 π° Bezirk B Hat 120 40 12040160160 Programme 7614768 π° Cinta Metrica Discover The Secret Relationship Between Love And Numbers 438955 π° This Tiny Flea Of The Family Is Hiding Where You Least Expect It 5353762 π° Jawbone Mandible 259058 π° Caul Fat 4796212 π° Tableir Revealed The Hidden Feature Thats Changing How We Work Forever 5364642 π° Efootball 2024 Download Pc 2238789 π° Jordan 5 Grapes 47583 π° Ryder Cup Score 3152752 π° Avatar Creator For Roblox 3445583 π° Tpi Composites Stock Now Risingexperts Predict Massive Gains After This Hidden Breakthrough 3469645 π° Al Capone Alcatraz 1217167 π° How To Pick Your Ultimate Busch Stadium Seating Spot The Hidden Chart You Need To See 7635419Final Thoughts
$$
5x + 6 = 102
$$
Step 2: Isolate the Variable Term
Now that we have simplified the left-hand side, we aim to isolate $ x $. Start by subtracting 6 from both sides:
$$
5x + 6 - 6 = 102 - 6
$$
$$
5x = 96
$$
Step 3: Solve for $ x $
To find $ x $, divide both sides by 5:
$$
x = rac{96}{5}
$$
