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Solve for 
x in simplest form.

5=(1)/(3)(8x-12)
Answer:

Solve for x \mathrm{x} in simplest form.\newline5=13(8x12) 5=\frac{1}{3}(8 x-12) \newlineAnswer:

Full solution

Q. Solve for x \mathrm{x} in simplest form.\newline5=13(8x12) 5=\frac{1}{3}(8 x-12) \newlineAnswer:
  1. Given Equation: We are given the equation 5=(13)(8x12)5 = \left(\frac{1}{3}\right)(8x - 12). First, we need to isolate the term containing xx by multiplying both sides of the equation by 33 to get rid of the fraction. 3×5=3×(13)(8x12)3 \times 5 = 3 \times \left(\frac{1}{3}\right)(8x - 12)
  2. Isolate Term with x: Simplify both sides of the equation. 15=8x1215 = 8x - 12
  3. Simplify Equation: Now, we need to solve for xx by getting xx on one side of the equation. We can do this by adding 1212 to both sides of the equation to move the constant term to the other side.\newline15+12=8x12+1215 + 12 = 8x - 12 + 12
  4. Solve for x: Simplify the equation by combining like terms.\newline27=8x27 = 8x
  5. Divide by 88: Finally, divide both sides of the equation by 88 to solve for xx.278=8x8\frac{27}{8} = \frac{8x}{8}
  6. Find xx Value: Simplify the equation to find the value of xx.x=278x = \frac{27}{8}

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