Question
Solve the equation
n=8
Evaluate
3(n−4)+2(4n−5)=5(n+2)+16
Move the expression to the left side
3(n−4)+2(4n−5)−(5(n+2)+16)=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
3(n−4)+2(4n−5)−5(n+2)−16=0
Calculate the sum or difference
More Steps

Evaluate
3(n−4)+2(4n−5)−5(n+2)−16
Expand the expression
More Steps

Calculate
3(n−4)
Apply the distributive property
3n−3×4
Multiply the numbers
3n−12
3n−12+2(4n−5)−5(n+2)−16
Expand the expression
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Calculate
2(4n−5)
Apply the distributive property
2×4n−2×5
Multiply the numbers
8n−2×5
Multiply the numbers
8n−10
3n−12+8n−10−5(n+2)−16
Expand the expression
More Steps

Calculate
−5(n+2)
Apply the distributive property
−5n−5×2
Multiply the numbers
−5n−10
3n−12+8n−10−5n−10−16
Calculate the sum or difference
More Steps

Evaluate
3n+8n−5n
Collect like terms by calculating the sum or difference of their coefficients
(3+8−5)n
Calculate the sum or difference
6n
6n−12−10−10−16
Subtract the numbers
6n−48
6n−48=0
Move the constant to the right-hand side and change its sign
6n=0+48
Removing 0 doesn't change the value,so remove it from the expression
6n=48
Divide both sides
66n=648
Divide the numbers
n=648
Solution
More Steps

Evaluate
648
Reduce the numbers
18
Calculate
8
n=8
Show Solution
