Solve for d. {:[6d-(11)/(2)=2d-(13)/(2)],[d=]:}

Write equation: Write down the equation. 6d - (11/2) = 2d - (13/2) We need to solve for d by isolating it on one side of the equation.Subtract variable terms: Subtract 2d from both sides to move the variable terms to one side. 6d - 2d - (11/2) = 2d - 2d - (13/2) Simplify the equation by combining like terms. 4d - (11/2) = -(13/2)Combine like terms: Add (11/2) to both sides to isolate the variable term. 4d - (11/2) + (11/2) = -(13/2) + (11/2) Simplify the equation by combining like terms. 4d = -(13/2) + (11/2)Add to isolate variable term: Calculate the right side of the equation. 4d = -(13/2) + (11/2) 4d = -(2/2) 4d = -1Calculate right side: Divide both sides by 4 to solve for d. 4d / 4 = -1 / 4 d = -1 / 4

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Solve for
d.

{:[6d-(11)/(2)=2d-(13)/(2)],[d=]:}

Solve for $d$ . $\newline$ $\begin{array}{l} 6 d-\frac{11}{2}=2 d-\frac{13}{2} \\ d= \end{array}$

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Math Problems

Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

d

\newline

\begin{array}{l} 6 d-\frac{11}{2}=2 d-\frac{13}{2} \\ d= \end{array}

Write equation: Write down the equation. $\newline$ $6d - \left(\frac{11}{2}\right) = 2d - \left(\frac{13}{2}\right)$ $\newline$ We need to solve for $d$ by isolating it on one side of the equation.
Subtract variable terms: Subtract $2d$ from both sides to move the variable terms to one side. $\newline$ $6d - 2d - \left(\frac{11}{2}\right) = 2d - 2d - \left(\frac{13}{2}\right)$ $\newline$ Simplify the equation by combining like terms. $\newline$ $4d - \left(\frac{11}{2}\right) = -\left(\frac{13}{2}\right)$
Combine like terms: Add $(\frac{11}{2})$ to both sides to isolate the variable term. $\newline$ $4d - (\frac{11}{2}) + (\frac{11}{2}) = -(\frac{13}{2}) + (\frac{11}{2})$ $\newline$ Simplify the equation by combining like terms. $\newline$ $4d = -(\frac{13}{2}) + (\frac{11}{2})$
Add to isolate variable term: Calculate the right side of the equation. $\newline$ $4d = -\left(\frac{13}{2}\right) + \left(\frac{11}{2}\right)$ $\newline$ $4d = -\left(\frac{2}{2}\right)$ $\newline$ $4d = -1$
Calculate right side: Divide both sides by $4$ to solve for $d$ . $\frac{4d}{4} = \frac{-1}{4}$ $d = \frac{-1}{4}$