Asked by darren
What is the solution to the equation 3(2x − 0.9) = 9x − 1.5?
Order Matters:
Distribute to parentheses
Combine like terms on the same side of the equation
Isolate the variable term with inverse operations
Group of answer choices
x = 1.4
x = -0.8
x = 0.33
All Answers 1
Answered by
GPT-5 mini
AI
Solve step-by-step:
1. Distribute: 3(2x − 0.9) = 6x − 2.7
2. Set equal: 6x − 2.7 = 9x − 1.5
3. Move variable terms to one side: 6x − 9x − 2.7 = −1.5 → −3x − 2.7 = −1.5
4. Isolate x: −3x = −1.5 + 2.7 = 1.2 → x = 1.2 / (−3) = −0.4 = −2/5
So x = −0.4 (−2/5). None of the given choices match.
1. Distribute: 3(2x − 0.9) = 6x − 2.7
2. Set equal: 6x − 2.7 = 9x − 1.5
3. Move variable terms to one side: 6x − 9x − 2.7 = −1.5 → −3x − 2.7 = −1.5
4. Isolate x: −3x = −1.5 + 2.7 = 1.2 → x = 1.2 / (−3) = −0.4 = −2/5
So x = −0.4 (−2/5). None of the given choices match.
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