Solve for x and write your answer in simplest form. 10 x-(x+1)=-3(-x-(5)/(4))-(3)/(4) Answer: x=

Question

Solve for  x and write your answer in simplest form.  10 x-(x+1)=-3(-x-(5)/(4))-(3)/(4) Answer:  x=

Bytelearn · Accepted Answer

Distribute terms in parentheses: First, let's distribute the terms inside the parentheses on both sides of the equation. On the left side, distribute the 10 to x and -1 to get 10x - (x + 1). On the right side, distribute -3 to both -x and -5/4 to get -3(-x - 5/4) - 3/4.Combine like terms: Now, simplify the left side by combining like terms. 10x - x - 1 simplifies to 9x - 1.Simplify right side: Simplify the right side by multiplying -3 with each term inside the parentheses. -3(-x) gives us 3x, and -3(-5/4) gives us 15/4. So, the right side becomes 3x + 15/4 - 3/4.Combine fractions: Combine the fractions on the right side. 15/4 - 3/4 simplifies to 12/4, which is 3. So, the right side is now 3x + 3.Simplify equation: Now we have a simplified equation: 9x - 1 = 3x + 3. Subtract 3x from both sides to get the x terms on one side. 9x - 3x - 1 = 3x - 3x + 3 simplifies to 6x - 1 = 3.Isolate x term: Add 1 to both sides to isolate the term with x. 6x - 1 + 1 = 3 + 1 simplifies to 6x = 4.Add 1 to both sides: Finally, divide both sides by 6 to solve for x. 6x / 6 = 4 / 6 simplifies to x = 2/3.

Solve for $x$ and write your answer in simplest form. $\newline$ $10 x-(x+1)=-3\left(-x-\frac{5}{4}\right)-\frac{3}{4}$ $\newline$ Answer: $x=$

Full solution

More problems from Find the roots of factored polynomials

Related topics

Solve for x x x and write your answer in simplest form.\newline10x−(x+1)=−3(−x−54)−34 10 x-(x+1)=-3\left(-x-\frac{5}{4}\right)-\frac{3}{4} 10x−(x+1)=−3(−x−45​)−43​\newlineAnswer: x= x= x=

Solve for $x$ and write your answer in simplest form. $\newline$ $10 x-(x+1)=-3\left(-x-\frac{5}{4}\right)-\frac{3}{4}$ $\newline$ Answer: $x=$