Answer:
5 + 2(3 + 2x) = x + 3(x + 1) has no solutions.
Step-by-step explanation:
Let's solve your equation step-by-step.
5+2(3+2x)=x+3(x+1)
Simplify both sides of the equation.
5+2(3+2x)=x+3(x+1)
5+(2)(3)+(2)(2x)=x+(3)(x)+(3)(1) (you distribute here)
5+6+4x=x+3x+3
(4x)+(5+6)=(x+3x)+(3)(Combine Like Terms)
4x+11=4x+3
4x+11=4x+3
Subtract 4x from both sides.
4x+11−4x=4x+3−4x
11=3
Subtract 11 from both sides.
11−11=3−11
0 = −8
so there are no solutions because 0 does not equal -8.
Answer:the second question has no solution
Step-by-step explanation:
expand 3 (x + 1): 3x + 3
4x+11=x+3x+3
add similar elements: x + 3 x = 4x
expand 5 2(3 2x): 4x
add similar elements: x + 3x = 4x
expand 5 + 2 (3 + 2x) 4x + 11
4x + 11-11 = 4x + 3-11
subtract 11 from both sides
4x + 11-11 = 4x + 3-11
Simplify
4x=4x-8
subtract 4x from both sides
4x-4x=4x-8-4x
Simplify
0=-8
the sides are not the same
without solution
