Solve for x and write your answer in simplest form. -(1)/(4)(6x+1)-3=(1)/(2)x Answer: x=

Question

Solve for  x and write your answer in simplest form.  -(1)/(4)(6x+1)-3=(1)/(2)x Answer:  x=

Bytelearn · Accepted Answer

Distribute and Simplify: First, we need to simplify the equation by distributing the -(1/4) across the (6x+1). Calculation: -(1/4)(6x+1) = -(1/4)*6x - (1/4)*1 = -3/2x - 1/4Addition to Isolate x: Next, we add the equation to both sides to isolate the x terms on one side. Calculation: -3/2x - 1/4 + 3 = (1/2)xCombine Like Terms: Now, we combine like terms on the left side of the equation. Calculation: -3/2x + 3 - 1/4 = (1/2)x To combine the constant terms, we need a common denominator, which is 4. Calculation: -3/2x + (12/4) - (1/4) = (1/2)x Calculation: -3/2x + (11/4) = (1/2)xAddition to Combine x Terms: We then add 3/2x to both sides to get all the x terms on one side. Calculation: (11/4) = (1/2)x + (3/2)xCombine x Terms: Now we combine the x terms on the right side of the equation. Calculation: (11/4) = (2/2)x + (3/2)x Calculation: (11/4) = (5/2)xMultiply by Reciprocal: To solve for x, we multiply both sides by the reciprocal of (5/2), which is (2/5). Calculation: (11/4) * (2/5) = xFinal Solution: Finally, we multiply the fractions to find the value of x. Calculation: x = (11 * 2) / (4 * 5) Calculation: x = 22 / 20 Calculation: x = 11 / 10

Solve for $x$ and write your answer in simplest form. $\newline$ $-\frac{1}{4}(6 x+1)-3=\frac{1}{2} x$ $\newline$ 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.\newline−14(6x+1)−3=12x -\frac{1}{4}(6 x+1)-3=\frac{1}{2} x −41​(6x+1)−3=21​x\newlineAnswer: x= x= x=

Solve for $x$ and write your answer in simplest form. $\newline$ $-\frac{1}{4}(6 x+1)-3=\frac{1}{2} x$ $\newline$ Answer: $x=$