Answer:
B:3(x-1)+2x=3(x-1)+2
Step-by-step explanation:
Aanya wrote the four equations that are shown below.
We need to check each equation and see which equations have same coefficient of x terms on both sides of equation.
A: 6x-8=4(x-2)+2x
Distribute 4 inside the parenthesis
6x-8=4x- 8+2x
We know 4x + 2x is 6x. So, both sides we have 6x. Hence no solution for this equation.
B:3(x-1)+2x=3(x-1)+2
Distribute 3 inside the parenthesis
3x - 3 + 2x = 3x - 3 + 2
5x - 3 = 3x- 3 + 2
Coefficient of x are not same on both sides. So this equation has exactly one solution.
C:7x+2-x=6(x+2)
Distribute 6 inside the parenthesis
6x + 2= 6x + 12
Both sides we have 6x. Hence no solution for this equation.
D:4(x+3)+x=5(x+1)+7
Distribute 4 and 5 inside the parenthesis
5x + 12= 5x + 5+ 12
Both sides we have 5x. Hence no solution for this equation.
