The equation has infinite amount of solutions.

2(4x+7)-7=

Finsish the equation so that the equation that has zero solutions
5(5x+3)-2=

Find the value of x that makes the following have exactly 1 solution
-4(2x+10)=-3x+5

1 answer

To find the solution for each equation:

1. 2(4x+7)-7=
Distribute the 2: 8x + 14 - 7 =
Combine like terms: 8x + 7 = 0
Isolate 8x: 8x = -7
Divide by 8: x = -7/8

Therefore, the equation has a single solution: x = -7/8.

2. 5(5x+3)-2=
Distribute the 5: 25x + 15 - 2 =
Combine like terms: 25x + 13 = 0
Isolate 25x: 25x = -13
Divide by 25: x = -13/25

Therefore, the equation has a single solution: x = -13/25.

3. -4(2x+10)=-3x+5
Distribute the -4: -8x - 40 = -3x + 5
Combine like terms: -8x + 3x = 5 + 40
Simplify: -5x = 45
Divide by -5: x = 45/-5
Simplify further: x = -9

Therefore, the equation has a single solution: x = -9.