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Solve for 
x in simplest form.

8=(7)/(5)(4x+5)
Answer:

Solve for x \mathrm{x} in simplest form.\newline8=75(4x+5) 8=\frac{7}{5}(4 x+5) \newlineAnswer:

Full solution

Q. Solve for x \mathrm{x} in simplest form.\newline8=75(4x+5) 8=\frac{7}{5}(4 x+5) \newlineAnswer:
  1. Isolate x term: First, we need to isolate the term with the variable x. To do this, we can multiply both sides of the equation by the reciprocal of the fraction (77/55), which is (55/77), to cancel out the fraction on the right side.\newlineCalculation: 8×57=75×57×(4x+5) 8 \times \frac{5}{7} = \frac{7}{5} \times \frac{5}{7} \times (4x + 5)
  2. Simplify both sides: After multiplying, we simplify both sides of the equation.\newlineCalculation: 407=4x+5 \frac{40}{7} = 4x + 5
  3. Subtract 55: Next, we subtract 55 from both sides to isolate the term with x on the right side.\newlineCalculation: 4075=4x+55 \frac{40}{7} - 5 = 4x + 5 - 5
  4. Convert to common denominator: We simplify the left side of the equation by converting 55 to a fraction with the same denominator as 4040/77, which is 3535/77.\newlineCalculation: 407357=4x \frac{40}{7} - \frac{35}{7} = 4x
  5. Subtract fractions: Now, we subtract the fractions on the left side.\newlineCalculation: 407357=57=4x \frac{40}{7} - \frac{35}{7} = \frac{5}{7} = 4x
  6. Divide by 44: To solve for x, we divide both sides by 44.\newlineCalculation: 57÷4=4x÷4 \frac{5}{7} \div 4 = 4x \div 4
  7. Simplify division: Finally, we simplify the division to find the value of x.\newlineCalculation: x=57×14=528 x = \frac{5}{7} \times \frac{1}{4} = \frac{5}{28}

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