Question

Which equation has no solution?

4(x + 3) + 2x = 6(x + 2)
5 + 2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)


Edgunity

Answer 1

5 + 2(3 + 2x) = x + 3(x + 1) has no solutions.

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 2

Answer:the second question has no solution

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