Solve for x. (x+9)/(2)=(4x-3)/(9) Answer:

Eliminate Fractions: First, we need to eliminate the fractions by finding a common denominator or by cross-multiplying. Cross-multiplication gives us: (x + 9) * 9 = (4x - 3) * 2Cross-Multiply and Simplify: Now, distribute the numbers on both sides of the equation: 9(x + 9) = 2(4x - 3) 9x + 81 = 8x - 6Isolate Variable: Next, we want to get all the x terms on one side and the constants on the other side. We can do this by subtracting 8x from both sides and subtracting 81 from both sides: 9x + 81 - 8x - 81 = 8x - 6 - 8x - 81 x = -87

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Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

\mathrm{x}

\newline

\frac{x+9}{2}=\frac{4 x-3}{9}

\newline

Answer:

Eliminate Fractions: First, we need to eliminate the fractions by finding a common denominator or by cross-multiplying. $\newline$ Cross-multiplication gives us: $\newline$ $(x + 9) \times 9 = (4x - 3) \times 2$
Cross-Multiply and Simplify: Now, distribute the numbers on both sides of the equation: $\newline$ $9(x + 9) = 2(4x - 3)$ $\newline$ $9x + 81 = 8x - 6$
Isolate Variable: Next, we want to get all the $x$ terms on one side and the constants on the other side. We can do this by subtracting $8x$ from both sides and subtracting $81$ from both sides: $9x + 81 - 8x - 81 = 8x - 6 - 8x - 81$ $x = -87$