Solve for x in simplest form.11, equals, one half, left bracket, 3, x, minus, 6, right bracket11=21 (3x−6)
Question
Solve for x in simplest form.11, equals, one half, left bracket, 3, x, minus, 6, right bracket11=21 (3x−6)
Solution
The equation you provided seems to have a typo. I believe you meant to write "11 equals one half times the quantity (3x - 6)". If that's the case, the equation should be written as 11 = 1/2 * (3x - 6). Here's how to solve it:
Step 1: Distribute the 1/2 to both terms inside the parentheses: 11 = 1/2 * 3x - 1/2 * 6 11 = 1.5x - 3
Step 2: Add 3 to both sides of the equation to isolate the term with x on one side: 11 + 3 = 1.5x - 3 + 3 14 = 1.5x
Step 3: Divide both sides of the equation by 1.5 to solve for x: 14 / 1.5 = 1.5x / 1.5 x = 14 / 1.5 x = 9.33 (rounded to two decimal places)
So, the solution to the equation is x = 9.33.
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