What does x = in this equation? 7x-2+2x+14=33

x = 7/3

Step-by-step explanation:

First, combine like terms:

7x + 2x - 2 + 14 = 33

(7x + 2x) + (14 - 2) = 33

9x + 12 = 33

Isolate the variable, note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 12 from both sides:

9x  + 12 (-12) =  33 (-12)

9x = 33 - 12

9x = 21

Next, divide 9 from both sides:

(9x)/9 = (21)/9

Simplify. Divide common factors:

x = (21/9)/(3/3) = 7/3

x = 7/3

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5