Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Apr 16, 2024

Find the value of the variable in the equation $2x + 1 = 3x - 5$ .

STEP 1

Question: What is the first step in solving the equation $2x + 1 = 3x - 5$ ?
A) Add 2x to both sides B) Subtract 2x from both sides C) Subtract 3x from both sides D) Add 1 to both sides
Answer: B) Subtract 2x from both sides

STEP 2

Question: After subtracting $2x$ from both sides, what does the equation become?
A) $1 = x - 5$ B) $3 = x - 5$ C) $1 = x + 5$ D) $3 = x + 5$
Answer: A) $1 = x - 5$

STEP 3

Question: What should you do next after simplifying the equation to $1 = x - 5$ ?
A) Subtract 1 from both sides B) Subtract 5 from both sides C) Add 1 to both sides D) Add 5 to both sides
Answer: D) Add 5 to both sides

STEP 4

Question: Once you have added 5 to both sides of the equation, what is the new equation?
A) $x = 1 + 5$ B) $x = 1 - 5$ C) $x = 6 - 5$ D) $x = 6 + 5$
Answer: A) $x = 1 + 5$

STEP 5

Question: What is the value of $x$ after calculating the sum on the right side of the equation?
A) 4 B) 5 C) 6 D) 7
Answer: C) 6

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