Does the equation 6x+35=-6x+35 have infinitely many ,one or no solution

One solution

Step-by-step explanation:

6x+35=-6x+35

Add 6x to both sides (addition property of equality)

12x+35=35

Subtract 35 from both sides (subtraction property of equality)

12x=0

Divide both sides by 12 (division property of equality)

x=0

Therefore there is only one solution, 0.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

step-by-step explanation: