Question

Simplify x + 1/2 (x-5) =20

Answer 1

Answer: x=15

Step-by-step explanation: Let's solve your equation step-by-step.

x+ 1 /2

(x−5)=20

Step 1: Simplify both sides of the equation.

x+ 1 /2

(x−5)=20

x+( 1 /2 )(x)+( 1 /2 )(−5)=20(Distribute)

x+ 1 /2

x+  −5 /2 =20

(x+ 1 /2 x)+( −5 /2 )=20(Combine Like Terms)

3 /2 x +  −5 /2 =20

3 /2 x +  −5 /2 =20

Step 2: Add 5/2 to both sides.

3 /2 x +  −5 /2  +  5 /2 =20+ 5 /2

3 /2 x=  45 /2

Step 3: Multiply both sides by 2/3.

( 2 /3 )*( 3 /2 x)=( 2 /3 )*( 45 /2 )

x=15