How many solutions are there to the equation below? 14x + 2 = 12x

The equation 14x + 2 = 12x has only one solution.

14x + 2 = 12x

subtract 12x from both sides

14x - 12x + 2 = 12x - 12x

2x + 2 = 0

subtract 2 from both sides

2x + 2 - 2 = 0 - 2

2x = - 2

divide both sides by 2

2x / 2 = -2 / 2

x = -1

Therefore, the equation have only one solution.

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this is an equation in one variable and has only one solution

14x + 2 = 12x ( subtract 12x from both sides )

2x + 2 = 0 ( subtract 2 from both sides )

2x = - 2 ( divide both sides by 2 )

x = = - 1 ← one solution

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3