Question :
3+0.5(4a+8)=9-2a
Solve the equation
a=21
Alternative Form
a=0.5
Evaluate
3+0.5(4a+8)=9−2a
Move the expression to the left side
3+0.5(4a+8)−(9−2a)=0
Calculate the sum or difference
More Steps

Evaluate
3+0.5(4a+8)−(9−2a)
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+0.5(4a+8)−9+2a
Subtract the numbers
−6+0.5(4a+8)+2a
−6+0.5(4a+8)+2a=0
Calculate
More Steps

Evaluate
−6+0.5(4a+8)+2a
Expand the expression
More Steps

Calculate
0.5(4a+8)
Apply the distributive property
0.5×4a+0.5×8
Multiply the numbers
2a+0.5×8
Multiply the numbers
2a+4
−6+2a+4+2a
Add the numbers
−2+2a+2a
Add the terms
More Steps

Evaluate
2a+2a
Collect like terms by calculating the sum or difference of their coefficients
(2+2)a
Add the numbers
4a
−2+4a
−2+4a=0
Move the constant to the right-hand side and change its sign
4a=0+2
Removing 0 doesn't change the value,so remove it from the expression
4a=2
Divide both sides
44a=42
Divide the numbers
a=42
Solution
a=21
Alternative Form
a=0.5
Show Solution
