Question

Solve the equation 2a+3=1/2(6+4a)

Answer 1

Greetings!

"Solve the equation
`2a+3=1/2(6+4a)`"...

Solve for a.

`2a+3=1/2(6+4a)`
Distribute the Parenthesis.

`2a+3=(1/2*6)+(1/2*4a)`
Simplify.

`2a+3=(0.5*6)+(0.5*4a)`

`2a+3=3+2a`
Add -2a to both sides.

`(2a+3)+(-2a)=(3+2a)+(-2a)`
Simplify.

`3=3`
Add -3 to both sides.

`(3)+(-3)=(3)+(-3)`
Simplify.
0=0

All real numbers are a solution to the variable a.

Hope this helps.
-Benjamin