Solve for x in simplest form.13, equals, one half, left parenthesis, 9, x, minus, 6, right parenthesis13=21 (9x−6)
Question
Solve for x in simplest form.13, equals, one half, left parenthesis, 9, x, minus, 6, right parenthesis13=21 (9x−6)
Solution
The equation you've provided is 13 = 1/2 * (9x - 6). Let's solve for x step by step:
Step 1: Distribute the 1/2 to both terms inside the parentheses: 13 = 1/2 * 9x - 1/2 * 6 13 = 4.5x - 3
Step 2: Add 3 to both sides of the equation to isolate the term with x on one side: 13 + 3 = 4.5x - 3 + 3 16 = 4.5x
Step 3: Divide both sides of the equation by 4.5 to solve for x: 16 / 4.5 = 4.5x / 4.5 x = 16 / 4.5
So, x = 16 / 4.5 = 3.56 (rounded to two decimal places).
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