Solve for d. 2(5-d)=2-4d d=

Simplify expression using distributive property: Simplify 2(5 - d) by using the distributive property. 2(5 - d) = 2(5) + 2(-d) = 10 - 2dSet expression equal to other side of equation: Set the simplified expression equal to the other side of the equation. 10 - 2d = 2 - 4dAdd 2d to both sides: Add 2d to both sides to get all the d terms on one side. 10 - 2d + 2d = 2 - 4d + 2d 10 = 2 - 2dIsolate the d term: Add 2d to both sides to isolate the d term. 10 + 2d = 2 - 2d + 2d 10 + 2d = 2Subtract 2 from both sides: Subtract 2 from both sides to solve for d. 10 + 2d - 2 = 2 - 2 8 + 2d = 0Divide both sides by 2: Divide both sides by 2 to find the value of d. (8 + 2d) / 2 = 0 / 2 4 + d = 0Subtract 4 from both sides: Subtract 4 from both sides to get the final value of d. 4 + d - 4 = 0 - 4 d = -4

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $d$ . $\newline$ $\begin{array}{l} 2(5-d)=2-4 d \\ d= \end{array}$

View step-by-step help

Home

Math Problems

Algebra 1

Solve multi-step linear equations

Full solution

Q. Solve for

d

\newline

\begin{array}{l} 2(5-d)=2-4 d \\ d= \end{array}

Simplify expression using distributive property: Simplify $2(5 - d)$ by using the distributive property. $\newline$ $2(5 - d)$ $\newline$ $= 2(5) + 2(-d)$ $\newline$ $= 10 - 2d$
Set expression equal to other side of equation: Set the simplified expression equal to the other side of the equation. $10 - 2d = 2 - 4d$
Add $2$ d to both sides: Add $2d$ to both sides to get all the $d$ terms on one side. $\newline$ $10 - 2d + 2d = 2 - 4d + 2d$ $\newline$ $10 = 2 - 2d$
Isolate the $d$ term: Add $2$ d to both sides to isolate the $d$ term. $\newline$ $10$ + $2$ d = $2$ - $2$ d + $2$ d $\newline$ $10$ + $2$ d = $2$
Subtract $2$ from both sides: Subtract $2$ from both sides to solve for $d$ . $10 + 2d - 2 = 2 - 2$ $8 + 2d = 0$
Divide both sides by $2$ : Divide both sides by $2$ to find the value of $d$ .
$\frac{8 + 2d}{2} = \frac{0}{2}$
$4 + d = 0$
Subtract $4$ from both sides: Subtract $4$ from both sides to get the final value of d. $\newline$ $4 + d - 4 = 0 - 4$ $\newline$ $d = -4$