Question
Solve the equation
d=1425
Alternative Form
d=1.78˙57142˙
Evaluate
11d−1=82d−3
Cross multiply
(d−1)×8=11(2d−3)
Simplify the equation
8(d−1)=11(2d−3)
Calculate
More Steps

Evaluate
8(d−1)
Apply the distributive property
8d−8×1
Any expression multiplied by 1 remains the same
8d−8
8d−8=11(2d−3)
Calculate
More Steps

Evaluate
11(2d−3)
Apply the distributive property
11×2d−11×3
Multiply the numbers
22d−11×3
Multiply the numbers
22d−33
8d−8=22d−33
Move the expression to the left side
8d−8−(22d−33)=0
Calculate
More Steps

Add the terms
8d−8−(22d−33)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
8d−8−22d+33
Subtract the terms
More Steps

Evaluate
8d−22d
Collect like terms by calculating the sum or difference of their coefficients
(8−22)d
Subtract the numbers
−14d
−14d−8+33
Add the numbers
−14d+25
−14d+25=0
Move the constant to the right-hand side and change its sign
−14d=0−25
Removing 0 doesn't change the value,so remove it from the expression
−14d=−25
Change the signs on both sides of the equation
14d=25
Divide both sides
1414d=1425
Solution
d=1425
Alternative Form
d=1.78˙57142˙
Show Solution
