Question
Solve the equation
q=−4
Evaluate
−50=6(q−5)−q
Swap the sides of the equation
6(q−5)−q=−50
Move the expression to the left side
6(q−5)−q−(−50)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
6(q−5)−q+50=0
Calculate the sum or difference
More Steps

Evaluate
6(q−5)−q+50
Expand the expression
More Steps

Calculate
6(q−5)
Apply the distributive property
6q−6×5
Multiply the numbers
6q−30
6q−30−q+50
Subtract the terms
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Evaluate
6q−q
Collect like terms by calculating the sum or difference of their coefficients
(6−1)q
Subtract the numbers
5q
5q−30+50
Add the numbers
5q+20
5q+20=0
Move the constant to the right-hand side and change its sign
5q=0−20
Removing 0 doesn't change the value,so remove it from the expression
5q=−20
Divide both sides
55q=5−20
Divide the numbers
q=5−20
Solution
More Steps

Evaluate
5−20
Reduce the numbers
1−4
Calculate
−4
q=−4
Show Solution
