What is the value of x in the equation 3(x - 1) = 2(x + 2)?
Practice Questions
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What is the value of x in the equation 3(x - 1) = 2(x + 2)?
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Questions & Step-by-Step Solutions
What is the value of x in the equation 3(x - 1) = 2(x + 2)?
Step 1: Distribute the 3 on the left side of the equation. This means you multiply 3 by both (x) and (-1). So, 3(x - 1) becomes 3x - 3. The equation now looks like this: 3x - 3 = 2(x + 2).
Step 2: Distribute the 2 on the right side of the equation. This means you multiply 2 by both (x) and (2). So, 2(x + 2) becomes 2x + 4. The equation now looks like this: 3x - 3 = 2x + 4.
Step 3: To get all the x terms on one side, subtract 2x from both sides of the equation. This gives you 3x - 2x - 3 = 4, which simplifies to x - 3 = 4.
Step 4: Now, to isolate x, add 3 to both sides of the equation. This gives you x - 3 + 3 = 4 + 3, which simplifies to x = 7.
