Solve for x. (4)/(5)+(x-6)/(7)=(x-6)/(35) Answer:

Identify Equation: Identify the equation to solve for x. (4/5) + (x-6)/7 = (x-6)/35 We need to find the value of x that satisfies this equation.Find Common Denominator: Find a common denominator for the fractions to combine them. The common denominator for 5, 7, and 35 is 35. Multiply each term by 35 to eliminate the denominators. 35 * (4/5) + 35 * ((x-6)/7) = 35 * ((x-6)/35)Simplify After Multiplying: Simplify each term after multiplying by 35. (35 * 4)/5 + (35 * (x-6))/7 = (35 * (x-6))/35 7 * 4 + 5 * (x-6) = x-6 28 + 5x - 30 = x - 6Combine Like Terms: Combine like terms on the left side of the equation. 28 - 30 + 5x = x - 6 -2 + 5x = x - 6Isolate Variable x: Isolate the variable x on one side of the equation. Subtract x from both sides to get all x terms on one side. -2 + 5x - x = x - 6 - x -2 + 4x = -6Add 2 to Solve: Add 2 to both sides to solve for x. -2 + 4x + 2 = -6 + 2 4x = -4Divide by 4: Divide both sides by 4 to find the value of x. 4x / 4 = -4 / 4 x = -1

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Q. Solve for

\mathrm{x}

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\frac{4}{5}+\frac{x-6}{7}=\frac{x-6}{35}

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Answer:

Identify Equation: Identify the equation to solve for $x$ . $\frac{4}{5} + \frac{x-6}{7} = \frac{x-6}{35}$ We need to find the value of $x$ that satisfies this equation.
Find Common Denominator: Find a common denominator for the fractions to combine them. $\newline$ The common denominator for $5$ , $7$ , and $35$ is $35$ . Multiply each term by $35$ to eliminate the denominators. $\newline$ $35 \times (\frac{4}{5}) + 35 \times (\frac{x-6}{7}) = 35 \times (\frac{x-6}{35})$
Simplify After Multiplying: Simplify each term after multiplying by $35$ . $\frac{35 \times 4}{5} + \frac{35 \times (x-6)}{7} = \frac{35 \times (x-6)}{35}$ $7 \times 4 + 5 \times (x-6) = x-6$ $28 + 5x - 30 = x - 6$
Combine Like Terms: Combine like terms on the left side of the equation. $\newline$ $28 - 30 + 5x = x - 6$ $\newline$ $-2 + 5x = x - 6$
Isolate Variable $x$ : Isolate the variable $x$ on one side of the equation. $\newline$ Subtract $x$ from both sides to get all $x$ terms on one side. $\newline$ $-2 + 5x - x = x - 6 - x$ $\newline$ $-2 + 4x = -6$
Add $2$ to Solve: Add $2$ to both sides to solve for $x$ . $-2 + 4x + 2 = -6 + 2$ $4x = -4$
Divide by $4$ : Divide both sides by $4$ to find the value of x. $\newline$ $\frac{4x}{4} = \frac{-4}{4}$ $\newline$ $x = -1$