Question
Solve the equation
Solve for w
w∈∅
Alternative Form
No solution
Evaluate
−6(w−4)+8w=2(w+9)
Calculate
More Steps
Evaluate
−6(w−4)+8w
Expand the expression
More Steps
Calculate
−6(w−4)
Apply the distributive property
−6w−(−6×4)
Multiply the numbers
−6w−(−24)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−6w+24
−6w+24+8w
Add the terms
More Steps
Evaluate
−6w+8w
Collect like terms by calculating the sum or difference of their coefficients
(−6+8)w
Add the numbers
2w
2w+24
2w+24=2(w+9)
Calculate
More Steps
Evaluate
2(w+9)
Apply the distributive property
2w+2×9
Multiply the numbers
2w+18
2w+24=2w+18
Move the expression to the left side
2w+24−(2w+18)=0
Calculate the sum or difference
More Steps
Add the terms
2w+24−(2w+18)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
2w+24−2w−18
The sum of two opposites equals 0
More Steps
Evaluate
2w−2w
Collect like terms
(2−2)w
Add the coefficients
0×w
Calculate
0
0+24−18
Remove 0
24−18
Subtract the numbers
6
6=0
Solution
w∈∅
Alternative Form
No solution
Show Solution