Select all the possible solutions for 2x+7 is less than or equal to 3x-5

2x + 7 < = 3x - 5

Treat < = as an = sign unless you divide or multiply by a negative number.

2x + 12 < = 3x

x < = 12

The answer is all real numbers less than or equal to 12.

2x + 7 ≤ 3x - 5

Isolate the x. Subtract 3x and 7 from both sides

2x (-3x) + 7 (-7) ≤ 3x (-3x) - 5 (-7)

2x - 3x ≤ - 5 - 7

Combine like terms

(2x - 3x) ≤ (-5 - 7)

-x ≤ - 12

Isolate the x. Divide - 1 from both sides. Remember that when dividing by a negative number, you must flip the sign.

(-x) / -1 ≤ (-12) / -1

x ≥ - 12/-1

x ≥ 12

x ≥ 12 is your answer

~Rise Above the Ordinary