Answer:
The simplified equivalent expressions for given expression as below:
A) 2x+10x=12x
B) -4(3x-10)+5(2-6x)=-42x+50
C) 2(x-4)+x=3x-8
D) -3-7(3-4x)+8x=36x-24
Step-by-step explanation:
A) Given expression is 2x+10x
To simplify the expression using distributive property a(x+y)=ax+ay
2x+10x=12x (adding the terms)
B) Given expression is -4(3x-10)+5(2-6x)
To simplify the expression using distributive property a(x+y)=ax+ay
-4(3x-10)+5(2-6x)=-12x+40+10-30x
-4(3x-10)+5(2-6x)=-42x+50 (adding the like terms)
C) Given expression is 2(x-4)+x
To simplify the expression using distributive property a(x+y)=ax+ay
2(x-4)+x=2x-8+x (adding the like terms)
2(x-4)+x=3x-8
D) Given expression is -3-7(3-4x)+8x
To simplify the expression using distributive property a(x+y)=ax+ay
-3-7(3-4x)+8x=-3-21+28x+8x (adding the like terms)
-3-7(3-4x)+8x=-24+36x
-3-7(3-4x)+8x=36x-24
