Answer:
X=18
Explanation:
Isolate x on one side of the equation.
DISTRIBUTIVE PROPERTY:
A(B+C)=AB+AC
A(B-C)=AB-AC
2(3x – 4) + 10 = 5(x + 4)
2(3x-4)+10 (First, expand by using distributive property.)
2*3x=6x
2*4=8
6x-8
6x-8+10
-8+10 (Add and subtract.)
-8+10=2
6x+2
5(x+4)
5*x=5x
5*4=20
5x+20
6x+2=5x+20
6x+2-2=5x+20-2 (Subtract 2 from both sides.)
20-2 (Solve.)
20-2=18
6x=5x+18
6x-5x=5x+18-5x (Then, subtract 5x from both sides.)
18-5x (Solve.)
18-5x=18
x=18
So, the correct answer is x=18.