What is the solution 8x-3(2x-4)=3(x-6)
2 answers:
16x^2 - 32x -3x +12 = 3x-18
X= 30
Answer:
x = 30
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
8x - 3(2x - 4) = 3(x - 6)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 8x - 6x + 12 = 3x - 18
- Combine like terms: 2x + 12 = 3x - 18
- Subtract 2x on both sides: 12 = x - 18
- Add 18 to both sides: 30 = x
- Rewrite: x = 30
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 8(30) - 3(2(30) - 4) = 3(30 - 6)
- Multiply: 240 - 3(60 - 4) = 3(30 - 6)
- Subtract: 240 - 3(56) = 3(24)
- Multiply: 240 - 168 = 72
- Subtract: 72 = 72
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