Write Equation: Start by writing down the equation given in the problem. 7/x - 8 = 3/xEliminate Fractions: To solve for x, we need to get rid of the fractions. To do this, we can find a common denominator and multiply both sides of the equation by that common denominator, which in this case is x. Multiply both sides by x to eliminate the fractions: x * (7/x - 8) = x * (3/x)Distribute x: Distribute x across the terms on the left side of the equation. x * (7/x) - x * 8 = x * (3/x) 7 - 8x = 3

Grade 8

Solve multi-step equations with fractional coefficients

Full solution

Q. Simplify.

\frac{7}{x}-8=\frac{3}{x}

Write Equation: Start by writing down the equation given in the problem. $\newline$ $\frac{7}{x} - 8 = \frac{3}{x}$
Eliminate Fractions: To solve for $x$ , we need to get rid of the fractions. To do this, we can find a common denominator and multiply both sides of the equation by that common denominator, which in this case is $x$ . Multiply both sides by $x$ to eliminate the fractions: $x \times (\frac{7}{x} - 8) = x \times (\frac{3}{x})$
Distribute $x$ : Distribute $x$ across the terms on the left side of the equation. $\newline$ $x \times (7/x) - x \times 8 = x \times (3/x)$ $\newline$ $7 - 8x = 3$